Journal of Functional Analysis最新文献_第5页

The free elastic flow for closed planar curves 平面闭合曲线的自由弹性流

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-29 DOI: 10.1016/j.jfa.2025.111030

Tatsuya Miura , Glen Wheeler

引用次数: 0

Type II singularities of Lagrangian mean curvature flow with zero Maslov class 零马斯洛夫类拉格朗日平均曲率流的II型奇异性

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-29 DOI: 10.1016/j.jfa.2025.111032

Xiang Li , Yong Luo , Jun Sun

引用次数: 0

The Helton-Howe trace formula for the Drury-Arveson space Drury-Arveson空间的Helton-Howe迹公式

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-29 DOI: 10.1016/j.jfa.2025.111037

Jingbo Xia

引用次数: 0

The Cauchy problem for the quadratic beam equation in d ≥ 2 d中二次梁方程的柯西问题 ≥ 2

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-29 DOI: 10.1016/j.jfa.2025.111041

Zihao Song

引用次数: 0

On the equivalence of distributional and synthetic Ricci curvature lower bounds 分布里奇曲率下界与合成里奇曲率下界的等价性

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-29 DOI: 10.1016/j.jfa.2025.111035

Andrea Mondino, Vanessa Ryborz

引用次数: 0

Functional calculus of quantum channels for the holomorphic discrete series of SU(1,1) SU（1,1）全纯离散级数的量子通道泛函演算

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-28 DOI: 10.1016/j.jfa.2025.111036

Robin van Haastrecht

{"title":"Functional calculus of quantum channels for the holomorphic discrete series of SU(1,1)","authors":"Robin van Haastrecht","doi":"10.1016/j.jfa.2025.111036","DOIUrl":"10.1016/j.jfa.2025.111036","url":null,"abstract":"<div><div>The tensor product of two holomorphic discrete series representations of <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> can be decomposed as a direct multiplicity-free sum of infinitely many holomorphic discrete series representations. I shall introduce equivariant quantum channels for each component of the direct sum by mapping the tensor product of an operator and the identity onto the projection onto one of the irreducible components, generalizing the construction of pure equivariant quantum channels for compact groups. Then I calculate the functional calculus of this operator for polynomials and prove a limit formula for the trace of the functional calculus for any differentiable function. The methods I used are the theory of reproducing kernel Hilbert spaces and a Plancherel theorem for the disk <span><math><mi>D</mi><mo>=</mo><mi>S</mi><mi>U</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo><mo>/</mo><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math></span>, together with exact constants for the eigenvalues of the Berezin transform. I prove that the limit of the trace of the functional calculus can be expressed using generalized Husimi functions or using Berezin transforms.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 6","pages":"Article 111036"},"PeriodicalIF":1.7,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143907574","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

Schatten classes and commutators of Riesz transforms in the two weight setting Schatten类和Riesz变换的换向子在两种权值设置下

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-28 DOI: 10.1016/j.jfa.2025.111028

Michael Lacey , Ji Li , Brett D. Wick , Liangchuan Wu

{"title":"Schatten classes and commutators of Riesz transforms in the two weight setting","authors":"Michael Lacey , Ji Li , Brett D. Wick , Liangchuan Wu","doi":"10.1016/j.jfa.2025.111028","DOIUrl":"10.1016/j.jfa.2025.111028","url":null,"abstract":"<div><div>We characterize the Schatten class <span><math><msup><mrow><mi>S</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span> of the commutator of Riesz transforms <span><math><mo>[</mo><mi>b</mi><mo>,</mo><msub><mrow><mi>R</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>]</mo></math></span> in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> (<span><math><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi></math></span>) in the two weight setting for <span><math><mi>n</mi><mo><</mo><mi>p</mi><mo><</mo><mo>∞</mo></math></span>, by introducing the condition that the symbol <em>b</em> is in Besov spaces associated with the given two weights. At the critical index <span><math><mi>p</mi><mo>=</mo><mi>n</mi></math></span>, the commutator <span><math><mo>[</mo><mi>b</mi><mo>,</mo><msub><mrow><mi>R</mi></mrow><mrow><mi>j</mi></mrow></msub><mo>]</mo></math></span> belongs to Schatten class <span><math><msup><mrow><mi>S</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> if and only if <em>b</em> is a constant, and to the weak Schatten class <span><math><msup><mrow><mi>S</mi></mrow><mrow><mi>n</mi><mo>,</mo><mo>∞</mo></mrow></msup></math></span> if and only if <em>b</em> is in an oscillation sequence space associated with the given two weights. As a direct application, we have the Schatten class estimate for A. Connes' quantized derivative in the two weight setting.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 6","pages":"Article 111028"},"PeriodicalIF":1.7,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143907575","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

Cartan semigroups and twisted groupoid C*-algebras Cartan半群与扭曲群C*-代数

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-28 DOI: 10.1016/j.jfa.2025.111038

Tristan Bice , Lisa Orloff Clark , Ying-Fen Lin , Kathryn McCormick

引用次数: 0

Regularity theory and geometry of unbalanced optimal transport 不平衡最优运输的正则性理论与几何

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-28 DOI: 10.1016/j.jfa.2025.111042

Thomas Gallouët , Roberta Ghezzi , François-Xavier Vialard

{"title":"Regularity theory and geometry of unbalanced optimal transport","authors":"Thomas Gallouët , Roberta Ghezzi , François-Xavier Vialard","doi":"10.1016/j.jfa.2025.111042","DOIUrl":"10.1016/j.jfa.2025.111042","url":null,"abstract":"<div><div>Using the dual formulation only, we show that the regularity of unbalanced optimal transport, also called entropy-transport, inherits from the regularity of standard optimal transport. We provide detailed examples of Riemannian manifolds and costs for which unbalanced optimal transport is regular. Among all entropy-transport formulations, the Wasserstein-Fisher-Rao (WFR) metric, also called Hellinger-Kantorovich, stands out since it admits a dynamical formulation, which extends the Benamou-Brenier formulation of optimal transport. After demonstrating the equivalence between dynamical and static formulations on a closed Riemannian manifold, we prove a polar factorization theorem, similar to the one due to Brenier and Mc-Cann. As a byproduct, we formulate the Monge-Ampère equation associated with the WFR metric, which also holds for more general costs. Last, we study the link between <em>c</em>-convex functions for the cost induced by the WFR metric and the cost on the cone. The main result is that the weak Ma-Trudinger-Wang condition on the cone implies the same condition on the manifold for the cost induced by the WFR metric.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 7","pages":"Article 111042"},"PeriodicalIF":1.7,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923575","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

Stability of the area preserving mean curvature flow in asymptotic Schwarzschild space 渐近史瓦西空间中保面积平均曲率流的稳定性

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2025-04-28 DOI: 10.1016/j.jfa.2025.111033

Yaoting Gui , Yuqiao Li , Jun Sun

引用次数: 0