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Annals of Functional Analysis最新文献

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Multilinear strongly singular integral operators with generalized kernels on RD-spaces rd -空间上具有广义核的多线性强奇异积分算子
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-25 DOI: 10.1007/s43034-025-00430-8
Kang Chen, Yan Lin, ShuHui Yang
{"title":"Multilinear strongly singular integral operators with generalized kernels on RD-spaces","authors":"Kang Chen,&nbsp;Yan Lin,&nbsp;ShuHui Yang","doi":"10.1007/s43034-025-00430-8","DOIUrl":"10.1007/s43034-025-00430-8","url":null,"abstract":"<div><p>In this article, we introduce a class of multilinear strongly singular integral operators with generalized kernels on the RD-space. The boundedness of these operators on weighted Lebesgue spaces is established. Moreover, two types of endpoint estimates and their boundedness on generalized weighted Morrey spaces are obtained. Our results further generalize the relevant conclusions on generalized kernels in Euclidean spaces. Moreover, the weak-type results on weighted Lebesgue spaces are brand new even in the situation of Euclidean spaces. In addition, when the generalized kernels degenerate into classical kernels, our research results also extend the relevant known results. It is worth mentioning that our RD-spaces are more general than theirs.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131494","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
Well-posedness and linearization for a semilinear wave equation with spatially growing nonlinearity 具有空间增长非线性的半线性波动方程的适定性和线性化
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-23 DOI: 10.1007/s43034-025-00427-3
Dhouha Draouil, Mohamed Majdoub
{"title":"Well-posedness and linearization for a semilinear wave equation with spatially growing nonlinearity","authors":"Dhouha Draouil,&nbsp;Mohamed Majdoub","doi":"10.1007/s43034-025-00427-3","DOIUrl":"10.1007/s43034-025-00427-3","url":null,"abstract":"<div><p>We study the initial value problem for a defocusing semi-linear wave equation with spatially growing nonlinearity. By employing Moser–Trudinger-type inequalities and Strichartz estimates, we establish global well-posedness in the energy space for radially symmetric initial data. Furthermore, we derive the linearization of energy-bounded solutions using the methodology introduced in Gérard (J Funct Anal 141:60–98, 1996). The main challenge in our analysis arises from the spatial growth of the nonlinearity at infinity, which prevents the direct application of Sobolev embeddings or Hardy inequalities to control the potential energy. The main novelty of this work lies in overcoming this challenge within the radial framework through the combined application of the Strauss inequality and Strichartz estimates.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117636","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
Infinitely many solutions for a class of p-Kirchhoff-type equations with critical exponent 一类具有临界指数的p- kirchhoff型方程的无穷多解
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-21 DOI: 10.1007/s43034-025-00439-z
L. C. Paes-Leme, E. M. Martins, M. R. Marcial, W. M. Ferreira
{"title":"Infinitely many solutions for a class of p-Kirchhoff-type equations with critical exponent","authors":"L. C. Paes-Leme,&nbsp;E. M. Martins,&nbsp;M. R. Marcial,&nbsp;W. M. Ferreira","doi":"10.1007/s43034-025-00439-z","DOIUrl":"10.1007/s43034-025-00439-z","url":null,"abstract":"<div><p>In this paper, we consider a class of <i>p</i>-Kirchhoff-type problem with critical exponent. Using Krasnoselskii’s genus theory and the concentration-compactness principle, due to Lions, we demonstrate the existence of infinitely many solutions. </p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100206","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
Hyponormality of Toeplitz operators on Newton spaces 牛顿空间上Toeplitz算子的次正规性
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-21 DOI: 10.1007/s43034-025-00423-7
Eungil Ko, Ji Eun Lee, Jongrak Lee
{"title":"Hyponormality of Toeplitz operators on Newton spaces","authors":"Eungil Ko,&nbsp;Ji Eun Lee,&nbsp;Jongrak Lee","doi":"10.1007/s43034-025-00423-7","DOIUrl":"10.1007/s43034-025-00423-7","url":null,"abstract":"<div><p>In this paper, we investigate properties of hyponormal Toeplitz operators whose symbols are analytic or co-analytic on a Newton space. We establish both necessary and sufficient conditions for a Toeplitz operator <span>(T_{varphi })</span> to be hyponormal or normal. Additionally, we give some applications of such results.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00423-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new type of bmo space for non-doubling measures 一种新型的非加倍测度的bmo空间
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-16 DOI: 10.1007/s43034-025-00436-2
Shining Li, Haijing Zhao, Baode Li
{"title":"A new type of bmo space for non-doubling measures","authors":"Shining Li,&nbsp;Haijing Zhao,&nbsp;Baode Li","doi":"10.1007/s43034-025-00436-2","DOIUrl":"10.1007/s43034-025-00436-2","url":null,"abstract":"<div><p>Let <span>(mu)</span> be a Radon measure on <span>({mathbb {R}}^{d})</span> which may be non-doubling and only satisfies <span>(mu (Q(x,l))le C_{0}l^{n})</span> for all <span>(xin {mathbb {R}}^{d})</span>, <span>(l(Q)&gt;0)</span>, with some fixed constants <span>(C_{0}&gt;0)</span> and <span>(nin (0,d])</span>. We introduce a new type of <span>(bmo(mu ))</span> space which looks bigger than the <span>(rbmo(mu ))</span> space of Dachun Yang(JAMS, 2005). And its four equivalent norms are established by constructing some special types of auxiliary doubling cubes. Then we further obtain that this new <span>(rbmo(mu ))</span> space actually coincides with the <span>(rbmo(mu ))</span> space of Dachun Yang.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073788","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
Continuity of multiplication in projective limit algebras and applications to amenability 射影极限代数中乘法的连续性及其在适应性上的应用
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-15 DOI: 10.1007/s43034-025-00431-7
Krzysztof Piszczek
{"title":"Continuity of multiplication in projective limit algebras and applications to amenability","authors":"Krzysztof Piszczek","doi":"10.1007/s43034-025-00431-7","DOIUrl":"10.1007/s43034-025-00431-7","url":null,"abstract":"<div><p>We study Köthe PDF-algebras. Using two (different yet natural) definitions of multiplication we obtain a wide class of natural algebras with either discontinuous or continuous multiplication. In this last case, we are able to fully characterize amenable Köthe PDF-algebras in terms of the defining Köthe matrix. This characterization shows an interesting and unexpected relation between algebraic and topological structures of amenable Köthe PDF-algebras.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00431-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
(C^*)-independence for ({mathbb {Z}}_2)-graded (C^*)-algebras (C^*)-独立性的({mathbb {Z}}_2) -分级(C^*) -代数
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-13 DOI: 10.1007/s43034-025-00434-4
Maria Elena Griseta, Paola Zurlo
{"title":"(C^*)-independence for ({mathbb {Z}}_2)-graded (C^*)-algebras","authors":"Maria Elena Griseta,&nbsp;Paola Zurlo","doi":"10.1007/s43034-025-00434-4","DOIUrl":"10.1007/s43034-025-00434-4","url":null,"abstract":"<div><p>We analyze a notion of <span>(C^*)</span>-independence for <span>({mathbb {Z}}_2)</span>-graded <span>(C^*)</span>-algebras. We provide other notions of statistical independence for <span>({mathbb {Z}}_2)</span>-graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00434-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On sequential greedy-type bases
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-13 DOI: 10.1007/s43034-025-00435-3
Miguel Berasategui, Pablo M. Berná, Hùng Việt Chu
{"title":"On sequential greedy-type bases","authors":"Miguel Berasategui,&nbsp;Pablo M. Berná,&nbsp;Hùng Việt Chu","doi":"10.1007/s43034-025-00435-3","DOIUrl":"10.1007/s43034-025-00435-3","url":null,"abstract":"<div><p>It is known that a basis is almost greedy if and only if the thresholding greedy algorithm gives essentially the smallest error term compared to errors from projections onto intervals or in other words, consecutive terms of <span>({mathbb {N}}.)</span> In this paper, we fix a sequence <span>((a_n)_{n=1}^infty )</span> and compare the TGA against projections onto consecutive terms of the sequence and its shifts. We call the corresponding greedy-type condition the <span>({mathcal {F}}_{(a_n)})</span>-almost greedy property. Our first result shows that the <span>({mathcal {F}}_{(a_n)})</span>-almost greedy property is equivalent to the classical almost greedy property if and only if <span>((a_n)_{n=1}^infty )</span> is bounded. Then we establish an analog of the result for the strong partially greedy property. Finally, we show that under a certain projection rule and conditions on the sequence <span>((a_n)_{n=1}^infty ,)</span> we obtain a greedy-type condition that lies strictly between the almost greedy and strong partially greedy properties.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944236","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
Single and multi-valued Hilbert-bundle renormings 单值和多值hilbert束改造
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-06 DOI: 10.1007/s43034-025-00432-6
Alexandru Chirvasitu
{"title":"Single and multi-valued Hilbert-bundle renormings","authors":"Alexandru Chirvasitu","doi":"10.1007/s43034-025-00432-6","DOIUrl":"10.1007/s43034-025-00432-6","url":null,"abstract":"<div><p>We prove that subhomogeneous continuous Banach bundles over compact metrizable spaces are equivalent to Hilbert bundles, while examples show that the metrizability assumption cannot be dropped completely. This complements the parallel statement for homogeneous bundles without the metrizability assumption, and generalizes the analogous result to the effect that subhomogeneous <span>(C^*)</span> bundles over compact metrizable spaces admit finite-index expectations.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00432-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on reducibility and n-hypercontractivity of extensions of Cowen–Douglas operators 关于Cowen-Douglas算子扩展的可约性和n-超收缩性的注解
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-05 DOI: 10.1007/s43034-025-00421-9
Shanshan Ji
{"title":"A note on reducibility and n-hypercontractivity of extensions of Cowen–Douglas operators","authors":"Shanshan Ji","doi":"10.1007/s43034-025-00421-9","DOIUrl":"10.1007/s43034-025-00421-9","url":null,"abstract":"<div><p>The purpose of this note is to characterize the reducibility and the <i>n</i>-hypercontractivity of extensions of Cowen–Douglas operators, and to show that the two have a mutually determining relationship in this context. In doing so, the curvature of the Hermitian holomorphic vector bundle is considered. Let <span>(mathcal {F}B_k(Omega ))</span> denote the class of Cowen–Douglas operators with flag structure and index <i>k</i>. As an important class of geometric operators, these operators have been studied extensively in recent research. It has been proven to be norm dense in the Cowen–Douglas operator class with index <i>k</i>. As applications, we provide a sufficient condition that operators in <span>(mathcal {F}B_k(Omega ))</span> are not <i>n</i>-hypercontractive.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904844","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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