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Strong openness conjecture and level sets of plurisubharmonic functions 多次谐波函数的强开放猜想与水平集
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00107-3
N. X. Hong
{"title":"Strong openness conjecture and level sets of plurisubharmonic functions","authors":"N. X. Hong","doi":"10.1007/s10476-025-00107-3","DOIUrl":"10.1007/s10476-025-00107-3","url":null,"abstract":"<div><p>We study the complex singularity exponents on the level sets of\u0000the plurisubharmonic functions. We prove the strong openness conjecture on the\u0000level sets of plurisubharmonic functions.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"805 - 814"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Optimal transport and Wasserstein barycenter for radially contoured distributions 径向分布的最优输运和Wasserstein重心
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00105-5
K. Chen, Y. Zhang
{"title":"Optimal transport and Wasserstein barycenter for radially contoured distributions","authors":"K. Chen,&nbsp;Y. Zhang","doi":"10.1007/s10476-025-00105-5","DOIUrl":"10.1007/s10476-025-00105-5","url":null,"abstract":"<div><p>The optimal transport and Wasserstein barycenter of Gaussian distributions have been solved. In literature, the closed form formulas of the Monge map, the Wasserstein \u0000distance and the Wasserstein barycenter have been given. Moreover, when Gaussian distributions extend more generally to elliptically contoured distributions, similar results \u0000also hold true. In this case, Gaussian distributions are regarded as elliptically contoured distribution with generator function \u0000<span>(e^{-x/2})</span>. However, there are few results about \u0000optimal transport for elliptically contoured distributions with different generator functions. In this paper, we degenerate elliptically contoured distributions to radially \u0000contoured distributions and study their optimal transport and prove their Wasserstein barycenter is still radially contoured. For general elliptically contoured distributions, \u0000we give two numerical counterexamples to show that the Wasserstein barycenter of elliptically contoured distributions does not have to be elliptically contoured.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"775 - 792"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Estimates for bilinear (omega)-type Calderón-Zygmund operators and their commutator on the product of grand mixed (generalized) Morrey spaces 广义混合Morrey空间积上双线性(omega)型Calderón-Zygmund算子及其交换子的估计
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00110-8
G. Lu, M. Wang
{"title":"Estimates for bilinear (omega)-type Calderón-Zygmund operators and their commutator on the product of grand mixed (generalized) Morrey spaces","authors":"G. Lu,&nbsp;M. Wang","doi":"10.1007/s10476-025-00110-8","DOIUrl":"10.1007/s10476-025-00110-8","url":null,"abstract":"<div><p>\u0000In this paper, we define the grand mixed Morrey generalized spaces <span>(mathcal{M}^{P),Psi (.)}_{u}(mathbb{R}^{n}))</span> over Euclidean spaces, where <span>(P=(p_{1} ,ldots,p_{n}))</span>, <span>(Psi (.)=(psi_{1} (.) ,ldots,psi_{n} (.)))</span> is an <span>(n)</span>-tuple of positive increasing functions <span>(psi_{i})</span> defined on <span>((0,p_{i}-1])</span> with <span>(p_{i}in(1,infty))</span> and <span>(i= 1 ,ldots,n)</span>, and <span>(u(cdot,cdot))</span> is a positive Lebesgue measurable function defined on <span>(mathbb{R}^{n}times(0,infty))</span>. We establish embedding and density properties for spaces <span>(mathcal{M}^{P),Psi (.),Sigma}_{u}(mathbb{R}^{n}))</span> with <span>(0&lt;Sigma&lt;P-1)</span>. As applications, we prove that the bilinear <span>(omega)</span>-type Calderón-Zygmund operator <span>(widetilde{T}_{omega})</span> and its commutator <span>(widetilde{T}_{omega,b_{1},b_{2}})</span> which is formed by <span>(b_{1}, b_{2}inmathrm{BMO}(mathbb{R}^{n}))</span> and <span>(widetilde{T}_{omega})</span> are bounded from the product of grand mixed generalized Morrey spaces <span>(mathcal{M}^{P_{1}),Theta,Sigma_{1}}_{u_{1}}(mathbb{R}^{n})times mathcal{M}^{P_{2}),Theta,Sigma_{2}}_{u_{2}}(mathbb{R}^{n}))</span> into the spaces <span>(mathcal{M}^{P),Theta,Sigma}_{u}(mathbb{R}^{n}))</span>, and they are also bounded from the product of grand mixed Morrey spaces <span>(M^{P_{1}),Theta,Sigma_{1}}_{q_{1}}( mathbb{R}^{n})times M^{P_{2}),Theta,Sigma_{2}}_{q_{2}}(mathbb{R}^{n}))</span> into the spaces <span>(M^{P),Theta,Sigma}_{q}(mathbb{R}^{n}))</span>, where <span>(u_{1}u_{2}=u)</span>, <span>(Theta=(theta_{1} ,ldots,theta_{n})&gt;0)</span>, <span>(frac{1}{P}= frac{1}{P_{1}} +frac{1}{P_{2}})</span> for <span>(1&lt;P_{1}, P_{2}&lt;infty)</span>, <span>(0&lt;Sigma_{i}=(sigma_{i1},sigma_{i2} ,ldots,sigma_{in})&lt;P_{i}-1)</span> <span>((i=1,2))</span> and <span>(frac{1}{q}=frac{1}{q_{1}}+frac{1}{q_{2}})</span> for <span>(1&lt; q_{1}, q_{2}&lt;infty)</span>.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"941 - 966"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Application of methods of quasicrystals theory to entire functions of exponential growth 准晶体理论方法在指数增长全函数中的应用
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00106-4
S. Yu. Favorov
{"title":"Application of methods of quasicrystals theory to entire functions of exponential growth","authors":"S. Yu. Favorov","doi":"10.1007/s10476-025-00106-4","DOIUrl":"10.1007/s10476-025-00106-4","url":null,"abstract":"<div><p>Let <i>f</i> be an entire almost periodic function with zeros in a horizontal strip of finite width; for example, \u0000any exponential polynomial with purely imaginary exponents is such a function. Let <span>(mu)</span> be the measure on the\u0000 set of zeros of <i>f </i> whose masses coincide with multiplicities of zeros. We define the Fourier transform in the\u0000 sense of distributions for <span>(mu)</span> and prove that it is a pure point measure on <span>(mathbb{R})</span> whose\u0000 complex masses correspond to coefficients of Dirichlet series of the logarithmic derivative of <i>f .</i> \u0000Bases on this description and Meyer’s theorem on quasicrystals, we give a simple necessary and sufficient condition for <i>f</i> to be a finite product of sines.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1313 - 1325"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 solutions of non-linear differential and difference equations governed by (qmbox{-}c) -shift 关于(qmbox{-}c) -shift控制下的非线性微分方程和差分方程的解
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00112-6
H. Y. Xu, J. Sarkar, A. Banerjee
{"title":"On solutions of non-linear differential and difference equations governed by (qmbox{-}c) -shift","authors":"H. Y. Xu,&nbsp;J. Sarkar,&nbsp;A. Banerjee","doi":"10.1007/s10476-025-00112-6","DOIUrl":"10.1007/s10476-025-00112-6","url":null,"abstract":"<div><p>This article is focused on exploring finite order transcendental\u0000entire solutions of some non-linear homogeneous differential equations involving\u0000<span>(qmbox{-}c)</span>-shift. Our findings are improvements and extensions of some existing results\u0000in this area, supported by examples. In the last section we are concerned with\u0000the solutions of the <span>(qmbox{-}c)</span>-shift difference equation. We have elucidated that our\u0000generalized structured <span>(qmbox{-}c)</span>-shift difference equations allow the existence of higher\u0000order solutions which provides the practical implications of the structure and thus\u0000significantly extend some earlier results in the literature.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1039 - 1057"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 the Lineability of non-measurable Riemann integrable functions 不可测黎曼可积函数的线性性
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-09-03 DOI: 10.1007/s10476-025-00114-4
T. A. Chishti, A. F. Mir, N. A. Lone
{"title":"On the Lineability of non-measurable Riemann integrable functions","authors":"T. A. Chishti,&nbsp;A. F. Mir,&nbsp;N. A. Lone","doi":"10.1007/s10476-025-00114-4","DOIUrl":"10.1007/s10476-025-00114-4","url":null,"abstract":"<div><p>We prove the lineability of the set of Riemann integrable functions which are not measurable for certain Banach spaces. We also prove that, for a non-Schur space, the set of scalarly Riemann integrable functions which are not Darboux integrable is lineable.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"793 - 803"},"PeriodicalIF":0.5,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Characterizations of finite and self-majorizing functions in (C(X)) 中的有限和自极大函数的刻画 (C(X))
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-29 DOI: 10.1007/s10476-025-00117-1
M. A. Toumi, Z. Jbeli
{"title":"Characterizations of finite and self-majorizing functions in (C(X))","authors":"M. A. Toumi,&nbsp;Z. Jbeli","doi":"10.1007/s10476-025-00117-1","DOIUrl":"10.1007/s10476-025-00117-1","url":null,"abstract":"<div><p>We characterize finite functions in the vector lattice <span>(C(X))</span> of real\u0000continuous functions on a normal topological space <span>(X)</span>. As an application, we\u0000give a description of self-majorizing functions of <span>(C(X))</span>. \u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1011 - 1017"},"PeriodicalIF":0.5,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Extension groups for the (C^*)-algebras associated with (lambda)-graph systems 与(lambda) -图系统相关的(C^*) -代数的可拓群
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-13 DOI: 10.1007/s10476-025-00104-6
K. Matsumoto
{"title":"Extension groups for the (C^*)\u0000-algebras associated with (lambda)-graph systems","authors":"K. Matsumoto","doi":"10.1007/s10476-025-00104-6","DOIUrl":"10.1007/s10476-025-00104-6","url":null,"abstract":"<div><p>A <span>(lambda)</span>-graph system is a labeled Bratteli diagram with \u0000certain additional structure, which presents a subshift. The class of the <span>(C^{*})</span>\u0000-algebras <span>(mathcal{O}_ mathfrak{L})</span> associated with \u0000 <span>(lambda)</span>-graph systems \u0000 is a generalized class of the class of Cuntz–Krieger algebras. \u0000In this paper, we will compute the strong extension groups\u0000<span>( Ext _{rm s} (mathcal{O}_ mathfrak{L}))</span>\u0000for the <span>(C^*)</span>-algebras associated with \u0000<span>(lambda)</span>-\u0000graph systems <span>( mathfrak{L} )</span> \u0000and study their relation with the weak extension group \u0000<span>( Ext _{rm w} (mathcal{O}_ mathfrak{L}))</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"967 - 995"},"PeriodicalIF":0.5,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Selected problems on a golden braid: (c_0), (l_1), (l_infty) 金色辫子上的精选问题：(c_0), (l_1)， (l_infty)
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-13 DOI: 10.1007/s10476-025-00098-1
G. Godefroy
{"title":"Selected problems on a golden braid: (c_0), (l_1), (l_infty)","authors":"G. Godefroy","doi":"10.1007/s10476-025-00098-1","DOIUrl":"10.1007/s10476-025-00098-1","url":null,"abstract":"<div><p>Some selected open problems are displayed, with relevant results, comments and references. We focus on the classical Banach spaces <span>(c_0)</span>\u0000, <span>(l_1)</span> and <span>(l_infty)</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 4","pages":"1327 - 1344"},"PeriodicalIF":0.5,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145766284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Weak factorizations of the Hardy spaces in terms of multilinear Calderón-Zygmund operators on ball banach function spaces 球banach函数空间上多元线性Calderón-Zygmund算子的Hardy空间弱因子分解
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2025-08-08 DOI: 10.1007/s10476-025-00101-9
Y. Zhao, X. Tao, J. Zhou
{"title":"Weak factorizations of the Hardy spaces in terms of multilinear Calderón-Zygmund operators on ball banach function spaces","authors":"Y. Zhao,&nbsp;X. Tao,&nbsp;J. Zhou","doi":"10.1007/s10476-025-00101-9","DOIUrl":"10.1007/s10476-025-00101-9","url":null,"abstract":"<div><p>In this paper, our main purpose is to establish a weak factorization of the classical Hardy spaces in terms of a multilinear Calderón-Zygmund operator on the ball Banach function spaces.\u0000 Furthermore, a new characterization of the BMO space via the boundedness of the commutator generated by the multilinear Calderón-Zygmund operator is also obtained. The results obtained in this paper have generality.\u0000 As examples, we apply the above results to weighted Lebesgue space, variable Lebesgue space, Herz space, mixed-norm Lebesgue space, Lorentz space and soon.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 3","pages":"1077 - 1097"},"PeriodicalIF":0.5,"publicationDate":"2025-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145341356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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