Journal of Functional Analysis最新文献_第6页

Relative K-homology of higher-order differential operators 高阶微分算子的相对 K 同调

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-13 DOI: 10.1016/j.jfa.2024.110678

Magnus Fries

引用次数: 0

Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains 粗糙域中正则性和泊松正则性问题的可解性外推法

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-13 DOI: 10.1016/j.jfa.2024.110672

Josep M. Gallegos , Mihalis Mourgoglou , Xavier Tolsa

{"title":"Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains","authors":"Josep M. Gallegos , Mihalis Mourgoglou , Xavier Tolsa","doi":"10.1016/j.jfa.2024.110672","DOIUrl":"10.1016/j.jfa.2024.110672","url":null,"abstract":"<div>Let <math><mi>Ω</mi><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msup></math>, <math><mi>n</mi><mo>≥</mo><mn>2</mn></math>, be an open set satisfying the corkscrew condition with n-Ahlfors regular boundary ∂Ω, but without any connectivity assumption. We study the connection between solvability of the regularity problem for divergence form elliptic operators with boundary data in the Hajłasz-Sobolev space <math><msup><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup><mo>(</mo><mo>∂</mo><mi>Ω</mi><mo>)</mo></math> and the weak-<math><msub><mrow><mi>A</mi></mrow><mrow><mo>∞</mo></mrow></msub></math> property of the associated elliptic measure. In particular, we show that solvability of the regularity problem in <math><msup><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup><mo>(</mo><mo>∂</mo><mi>Ω</mi><mo>)</mo></math> is equivalent to the solvability of the regularity problem in <math><msup><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mi>p</mi></mrow></msup><mo>(</mo><mo>∂</mo><mi>Ω</mi><mo>)</mo></math> for some <math><mi>p</mi><mo>></mo><mn>1</mn></math>. We also prove analogous extrapolation results for the Poisson regularity problem defined on tent spaces. Moreover, under the hypothesis that ∂Ω supports a weak <math><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math>-Poincaré inequality, we show that the solvability of the regularity problem in the Hajłasz-Sobolev space <math><msup><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup><mo>(</mo><mo>∂</mo><mi>Ω</mi><mo>)</mo></math> is equivalent to a stronger solvability in a Hardy-Sobolev space of tangential derivatives.</div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022123624003604/pdfft?md5=559d2fce88142d22708d8e9a462e2ff0&pid=1-s2.0-S0022123624003604-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142274599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Radiation of the energy-critical wave equation with compact support 能量临界波方程的辐射与紧凑支持

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-12 DOI: 10.1016/j.jfa.2024.110670

Zhen Lei , Xiao Ren , Zhaojie Yang

引用次数: 0

Embedding C⁎-algebras into the Calkin algebra of ℓp 将 C⁎-gebras 嵌入 ℓp 的 Calkin 代数中

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-12 DOI: 10.1016/j.jfa.2024.110669

March T. Boedihardjo

引用次数: 0

Physical-space estimates for axisymmetric waves on extremal Kerr spacetime 极值克尔时空中轴对称波的物理空间估计值

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-12 DOI: 10.1016/j.jfa.2024.110668

Elena Giorgi, Jingbo Wan

引用次数: 0

Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials 具有复势的双谐算子的均匀解析估计和特征值缺失

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-03 DOI: 10.1016/j.jfa.2024.110646

Lucrezia Cossetti , Luca Fanelli , David Krejčiřík

引用次数: 0

Fourier–Jacobi models for real unitary groups 实单元群的傅立叶-雅可比模型

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-02 DOI: 10.1016/j.jfa.2024.110645

Hang Xue

引用次数: 0

Asymptotic lifting for completely positive maps 完全正映射的渐近提升

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-02 DOI: 10.1016/j.jfa.2024.110655

Marzieh Forough , Eusebio Gardella , Klaus Thomsen

{"title":"Asymptotic lifting for completely positive maps","authors":"Marzieh Forough , Eusebio Gardella , Klaus Thomsen","doi":"10.1016/j.jfa.2024.110655","DOIUrl":"10.1016/j.jfa.2024.110655","url":null,"abstract":"<div>Let A and B be <math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math>-algebras with A separable, let I be an ideal in B, and let <math><mi>ψ</mi><mo>:</mo><mi>A</mi><mo>→</mo><mi>B</mi><mo>/</mo><mi>I</mi></math> be a completely positive contractive linear map. We show that there is a continuous family <math><msub><mrow><mi>Θ</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>:</mo><mi>A</mi><mo>→</mo><mi>B</mi></math>, for <math><mi>t</mi><mo>∈</mo><mo>[</mo><mn>1</mn><mo>,</mo><mo>∞</mo><mo>)</mo></math>, of lifts of ψ that are asymptotically linear, asymptotically completely positive and asymptotically contractive. If ψ is of order zero, then <math><msub><mrow><mi>Θ</mi></mrow><mrow><mi>t</mi></mrow></msub></math> can be chosen to have this property asymptotically. If A and B carry continuous actions of a second countable locally compact group G such that I is G-invariant and ψ is equivariant, we show that the family <math><msub><mrow><mi>Θ</mi></mrow><mrow><mi>t</mi></mrow></msub></math> can be chosen to be asymptotically equivariant. If a linear completely positive lift for ψ exists, we can arrange that <math><msub><mrow><mi>Θ</mi></mrow><mrow><mi>t</mi></mrow></msub></math> is linear and completely positive for all <math><mi>t</mi><mo>∈</mo><mo>[</mo><mn>1</mn><mo>,</mo><mo>∞</mo><mo>)</mo></math>. In the equivariant setting, if A, B and ψ are unital, we show that asymptotically linear unital lifts are only guaranteed to exist if G is amenable. This leads to a new characterization of amenability in terms of the existence of asymptotically equivariant unital sections for quotient maps.</div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022123624003434/pdfft?md5=65a403e2027f24e6659a35962da123f0&pid=1-s2.0-S0022123624003434-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142161639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Wavelet and Fourier analytic characterizations of pointwise multipliers of Besov spaces Bp,ps(Rn) with 0 < p ≤ 1 贝索夫空间 Bp,ps(Rn)的小波和傅立叶分析点乘法器特征，0 < p ≤ 1

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-02 DOI: 10.1016/j.jfa.2024.110654

Yinqin Li , Winfried Sickel , Dachun Yang , Wen Yuan

引用次数: 0

Sharp maximal function estimates for linear and multilinear pseudo-differential operators 线性和多线性伪微分算子的尖锐最大函数估计值

IF 1.7 2区数学

Journal of Functional Analysis Pub Date : 2024-09-02 DOI: 10.1016/j.jfa.2024.110661

Bae Jun Park , Naohito Tomita

引用次数: 0