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Critical prescribed Q-curvature flow on closed even-dimensional manifolds with sign-changing functions 具有变符号函数的闭偶维流形上的临界规定q曲率流
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-16 DOI: 10.1016/j.jfa.2025.111133
Leilei Cui , Changfeng Gui , Haicheng Yan , Wen Yang
{"title":"Critical prescribed Q-curvature flow on closed even-dimensional manifolds with sign-changing functions","authors":"Leilei Cui ,&nbsp;Changfeng Gui ,&nbsp;Haicheng Yan ,&nbsp;Wen Yang","doi":"10.1016/j.jfa.2025.111133","DOIUrl":"10.1016/j.jfa.2025.111133","url":null,"abstract":"<div><div>In this article, we consider the prescribed <em>Q</em>-curvature equation<span><span><span><math><mi>P</mi><mi>u</mi><mo>=</mo><mi>ρ</mi><mrow><mo>(</mo><mfrac><mrow><mi>h</mi><msup><mrow><mi>e</mi></mrow><mrow><mn>2</mn><mi>n</mi><mi>u</mi></mrow></msup></mrow><mrow><msub><mrow><mo>∫</mo></mrow><mrow><mi>M</mi></mrow></msub><mi>h</mi><msup><mrow><mi>e</mi></mrow><mrow><mn>2</mn><mi>n</mi><mi>u</mi></mrow></msup><mi>d</mi><mi>μ</mi></mrow></mfrac><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mo>|</mo><mi>M</mi><msub><mrow><mo>|</mo></mrow><mrow><msub><mrow><mi>g</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></msub></mrow></mfrac><mo>)</mo></mrow><mspace></mspace><mspace></mspace><mtext>in</mtext><mspace></mspace><mspace></mspace><mi>M</mi><mo>,</mo></math></span></span></span> where <span><math><mo>(</mo><mi>M</mi><mo>,</mo><msub><mrow><mi>g</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>)</mo></math></span> is a closed 2<em>n</em>-dimensional Riemannian manifold, <span><math><mi>P</mi></math></span> represents the GJMS operator, which is (weakly) positive with a kernel of constant functions. The function <em>h</em> is smooth and sign-changing, while <em>ρ</em> is a positive constant. In the critical case with <span><math><mi>ρ</mi><mo>=</mo><msup><mrow><mn>4</mn></mrow><mrow><mi>n</mi></mrow></msup><mo>(</mo><mi>n</mi><mo>−</mo><mn>1</mn><mo>)</mo><mo>!</mo><msup><mrow><mi>π</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span>, we employ a negative gradient-like flow method to establish the existence of solutions to this prescribed <em>Q</em>-curvature equation. Our approach extends the work of Li-Xu <span><span>[46]</span></span>, which focused on dimension 2, to general even dimensions. This result can also be viewed as a counterpart to <span><span>[8]</span></span> in the case where <em>h</em> is a sign-changing function.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 11","pages":"Article 111133"},"PeriodicalIF":1.7,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topological structure of the space of composition operators on the Hardy space of Dirichlet series Dirichlet级数Hardy空间上复合算子空间的拓扑结构
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-15 DOI: 10.1016/j.jfa.2025.111134
Frédéric Bayart , Maofa Wang , Xingxing Yao
{"title":"Topological structure of the space of composition operators on the Hardy space of Dirichlet series","authors":"Frédéric Bayart ,&nbsp;Maofa Wang ,&nbsp;Xingxing Yao","doi":"10.1016/j.jfa.2025.111134","DOIUrl":"10.1016/j.jfa.2025.111134","url":null,"abstract":"<div><div>The aim of this paper is to study when two composition operators on the Hilbert space of Dirichlet series with square summable coefficients belong to the same component or when their difference is compact. As a corollary we show that if a linear combination of composition operators with polynomial symbols of degree at most 2 is compact, then each composition operator is compact.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 11","pages":"Article 111134"},"PeriodicalIF":1.7,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144656711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On log-concave-tailed chaoses and the restricted isometry property 关于对数凹尾混沌及其受限等距性质
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-15 DOI: 10.1016/j.jfa.2025.111130
Guozheng Dai , Zhonggen Su , Vladimir Ulyanov , Hanchao Wang
{"title":"On log-concave-tailed chaoses and the restricted isometry property","authors":"Guozheng Dai ,&nbsp;Zhonggen Su ,&nbsp;Vladimir Ulyanov ,&nbsp;Hanchao Wang","doi":"10.1016/j.jfa.2025.111130","DOIUrl":"10.1016/j.jfa.2025.111130","url":null,"abstract":"<div><div>In this paper, we obtain a <em>p</em>-th moment bound for the suprema of a log-concave-tailed nonhomogeneous chaos process, which is optimal in some cases. With this <em>p</em>-th moment bound, we get two uniform Hanson-Wright type deviation inequalities for <em>α</em>-subexponential entries (<span><math><mn>1</mn><mo>≤</mo><mi>α</mi><mo>≤</mo><mn>2</mn></math></span>), which generalize some known results. As applications, we prove the restricted isometry property of partial random circulant matrices and time-frequency structured random matrices induced by <em>α</em>-subexponential vectors (<span><math><mn>1</mn><mo>≤</mo><mi>α</mi><mo>≤</mo><mn>2</mn></math></span>), which extends the previously known results proved in the subgaussian case.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 11","pages":"Article 111130"},"PeriodicalIF":1.7,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144656710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geometric influences on quantum Boolean cubes 几何对量子布尔立方体的影响
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-15 DOI: 10.1016/j.jfa.2025.111132
David P. Blecher , Li Gao , Bang Xu
{"title":"Geometric influences on quantum Boolean cubes","authors":"David P. Blecher ,&nbsp;Li Gao ,&nbsp;Bang Xu","doi":"10.1016/j.jfa.2025.111132","DOIUrl":"10.1016/j.jfa.2025.111132","url":null,"abstract":"<div><div>In this work, we study three problems related to the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-influence on quantum Boolean cubes. In the first place, we obtain a dimension free bound for <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-influence, which implies the quantum <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-KKL Theorem result obtained by Rouzé, Wirth and Zhang. Beyond that, we also obtain a high order quantum Talagrand inequality and quantum <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-KKL theorem. Lastly, we prove a quantitative relation between the noise stability and <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span>-influence. To this end, our technique involves the random restrictions method as well as semigroup theory.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 11","pages":"Article 111132"},"PeriodicalIF":1.7,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144656709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-rigidity of the absolutely continuous part of A-free measures 非刚性部分的绝对连续无a措施
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-03 DOI: 10.1016/j.jfa.2025.111114
Luigi De Masi , Carlo Gasparetto
{"title":"Non-rigidity of the absolutely continuous part of A-free measures","authors":"Luigi De Masi ,&nbsp;Carlo Gasparetto","doi":"10.1016/j.jfa.2025.111114","DOIUrl":"10.1016/j.jfa.2025.111114","url":null,"abstract":"<div><div>We generalize a result by Alberti, showing that, if a first-order linear differential operator <span><math><mi>A</mi></math></span> belongs to a certain class, then any <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> function is the absolutely continuous part of a measure <em>μ</em> satisfying <span><math><mi>A</mi><mi>μ</mi><mo>=</mo><mn>0</mn></math></span>. When <span><math><mi>A</mi></math></span> is scalar valued, we provide a necessary and sufficient condition for the above property to hold true and we prove dimensional estimates on the singular part of <em>μ</em>. Finally, we show that operators in the above class satisfy a Lusin-type property.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111114"},"PeriodicalIF":1.7,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144572031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Envelopes in the class of Banach algebras of polynomial growth and C∞-functions of a finite number of free variables 具有多项式增长的Banach代数和有限自由变量的C∞函数的包络
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-03 DOI: 10.1016/j.jfa.2025.111117
O.Yu. Aristov
{"title":"Envelopes in the class of Banach algebras of polynomial growth and C∞-functions of a finite number of free variables","authors":"O.Yu. Aristov","doi":"10.1016/j.jfa.2025.111117","DOIUrl":"10.1016/j.jfa.2025.111117","url":null,"abstract":"<div><div>We introduce the notion of envelope of a topological algebra (in particular, an arbitrary associative algebra) with respect to a class of Banach algebras. In the case of the class of real Banach algebras of polynomial growth, i.e., admitting a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-functional calculus for every element, we get a functor that maps the algebra of polynomials in <em>k</em> variables to the algebra of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-functions on <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>k</mi></mrow></msup></math></span>. The envelope of a general commutative or non-commutative algebra can be treated as an algebra of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-functions on some commutative or non-commutative space. In particular, we describe the envelopes of the universal enveloping algebra of finite-dimensional Lie algebras, the coordinate algebras of the quantum plane and quantum group <span><math><mi>S</mi><mi>L</mi><mo>(</mo><mn>2</mn><mo>)</mo></math></span> and also look at some commutative examples. A result on algebras of ‘free <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-functions’, i.e., the envelopes of free associative algebras of finite rank <em>k</em>, is announced for general <em>k</em> and proved for <span><math><mi>k</mi><mo>⩽</mo><mn>2</mn></math></span>.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111117"},"PeriodicalIF":1.7,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144570100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectra of Cantor measures with consecutive digit sets revisited 对连续数集康托测度谱的重新研究
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-03 DOI: 10.1016/j.jfa.2025.111111
Yan-Song Fu , Chuntai Liu
{"title":"Spectra of Cantor measures with consecutive digit sets revisited","authors":"Yan-Song Fu ,&nbsp;Chuntai Liu","doi":"10.1016/j.jfa.2025.111111","DOIUrl":"10.1016/j.jfa.2025.111111","url":null,"abstract":"<div><div>Let <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>b</mi><mo>,</mo><mi>q</mi></mrow></msub></math></span> be the self-similar measure satisfying <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>b</mi><mo>,</mo><mi>q</mi></mrow></msub><mo>(</mo><mo>⋅</mo><mo>)</mo><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mi>q</mi></mrow></mfrac><msubsup><mrow><mo>∑</mo></mrow><mrow><mi>j</mi><mo>=</mo><mn>0</mn></mrow><mrow><mi>q</mi><mo>−</mo><mn>1</mn></mrow></msubsup><msub><mrow><mi>μ</mi></mrow><mrow><mi>b</mi><mo>,</mo><mi>q</mi></mrow></msub><mo>(</mo><msubsup><mrow><mi>φ</mi></mrow><mrow><mi>j</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msubsup><mo>(</mo><mo>⋅</mo><mo>)</mo><mo>)</mo></math></span>, where <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>x</mi></mrow><mrow><mi>b</mi></mrow></mfrac><mo>+</mo><mfrac><mrow><mi>j</mi></mrow><mrow><mi>q</mi></mrow></mfrac></math></span>, <span><math><mn>0</mn><mo>≤</mo><mi>j</mi><mo>&lt;</mo><mi>q</mi></math></span> and <span><math><mn>2</mn><mo>≤</mo><mi>q</mi><mo>&lt;</mo><mi>b</mi><mo>∈</mo><mi>Z</mi></math></span> such that <span><math><mi>q</mi><mo>|</mo><mi>b</mi></math></span>. This paper will analyze the orthonormal bases of exponential functions for <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><msub><mrow><mi>μ</mi></mrow><mrow><mi>b</mi><mo>,</mo><mi>q</mi></mrow></msub><mo>)</mo></math></span>. We present a sufficient and necessary condition for discrete sets to be maximal orthogonal sets and a sufficient condition for maximal orthogonal sets to be bases in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><msub><mrow><mi>μ</mi></mrow><mrow><mi>b</mi><mo>,</mo><mi>q</mi></mrow></msub><mo>)</mo></math></span> which generalizes the main results of Dutkay, Han and Sun (2009) for <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mn>4</mn><mo>,</mo><mn>2</mn></mrow></msub></math></span>. Finally, a complete characterization on the structure of spectra for <span><math><msub><mrow><mi>μ</mi></mrow><mrow><mi>b</mi><mo>,</mo><mi>q</mi></mrow></msub></math></span> is given in the viewpoint of measure and dimension which generalizes one of the main results of Deng, Fu and Kang (2024).</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111111"},"PeriodicalIF":1.7,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strong almost finiteness 强几乎有限
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-03 DOI: 10.1016/j.jfa.2025.111116
Gábor Elek , Ádám Timár
{"title":"Strong almost finiteness","authors":"Gábor Elek ,&nbsp;Ádám Timár","doi":"10.1016/j.jfa.2025.111116","DOIUrl":"10.1016/j.jfa.2025.111116","url":null,"abstract":"<div><div>A countable, bounded degree graph is almost finite if it has a tiling with isomorphic copies of finitely many Følner sets, and we call it strongly almost finite, if the tiling can be randomized so that the probability that a vertex is on the boundary of a tile is uniformly small. We give various equivalents for strong almost finiteness. In particular, we prove that Property A together with the Følner property is equivalent to strong almost finiteness. Using these characterizations, we show that graphs of subexponential growth and Schreier graphs of amenable groups are always strongly almost finite, generalizing the celebrated result of Downarowicz, Huczek and Zhang about amenable Cayley graphs, based on graph theoretic rather than group theoretic principles. We give various equivalents to Property A for graphs, and show that if a sequence of graphs of Property A (in a uniform sense) converges to a graph <em>G</em> in the neighborhood distance (a purely combinatorial analogue of the classical Benjamini-Schramm distance), then their Laplacian spectra converge to the Laplacian spectrum of <em>G</em> in the Hausdorff distance. We apply the previous theory to construct a new and rich class of classifiable <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⋆</mo></mrow></msup></math></span>-algebras. Namely, we show that for any minimal strong almost finite graph <em>G</em> there are naturally associated simple, nuclear, stably finite <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⋆</mo></mrow></msup></math></span>-algebras that are classifiable by their Elliott invariants.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111116"},"PeriodicalIF":1.7,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144572033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tingley's problem for Schreier spaces and their p - convexifications Schreier空间的Tingley问题及其p -凸化
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-02 DOI: 10.1016/j.jfa.2025.111122
Micheline Fakhoury
{"title":"Tingley's problem for Schreier spaces and their p - convexifications","authors":"Micheline Fakhoury","doi":"10.1016/j.jfa.2025.111122","DOIUrl":"10.1016/j.jfa.2025.111122","url":null,"abstract":"<div><div>We describe the surjective isometries of the unit sphere of real Schreier spaces of all orders and their <em>p</em> <!-->-<!--> <!-->convexifications, for <span><math><mn>1</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mo>∞</mo></math></span>. This description allows us to provide for those spaces a positive answer to a special case of Tingley's problem, which asks whether every surjective isometry of the unit sphere of a real Banach space can be extended to a linear isometry of the entire space.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111122"},"PeriodicalIF":1.7,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remarks on Hessian quotient equations on Riemannian manifolds 黎曼流形上的Hessian商方程
IF 1.7 2区 数学
Journal of Functional Analysis Pub Date : 2025-07-02 DOI: 10.1016/j.jfa.2025.111123
Marcin Sroka
{"title":"Remarks on Hessian quotient equations on Riemannian manifolds","authors":"Marcin Sroka","doi":"10.1016/j.jfa.2025.111123","DOIUrl":"10.1016/j.jfa.2025.111123","url":null,"abstract":"<div><div>We consider Hessian quotient equations in Riemannian setting as appearing in the problem posed by Delanoë and Urbas. We prove unobstructed second order a priori estimate for the real Hessian quotient equation via the maximum principle argument on Riemannian manifolds in dimension two. This is achieved by introducing new test function and exploiting some fine concavity properties of quotient operator. This result demonstrates that there is intriguing difference between the real case and the complex case, as there are known obstructions for <em>J</em>-equation in complex geometry.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 10","pages":"Article 111123"},"PeriodicalIF":1.7,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144572032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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