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Journal of Fourier Analysis and Applications最新文献

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Endpoint Entropy Fefferman–Stein Bounds for Commutators 换向子的端点熵Fefferman-Stein边界
3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-09-15 DOI: 10.1007/s00041-023-10040-4
Pamela A. Muller, Israel P. Rivera-Ríos
{"title":"Endpoint Entropy Fefferman–Stein Bounds for Commutators","authors":"Pamela A. Muller, Israel P. Rivera-Ríos","doi":"10.1007/s00041-023-10040-4","DOIUrl":"https://doi.org/10.1007/s00041-023-10040-4","url":null,"abstract":"Abstract In this paper endpoint entropy Fefferman–Stein bounds for Calderón–Zygmund operators introduced by Rahm (J Math Anal Appl 504(1):Paper No. 125372, 2021) are extended to iterated Coifman–Rochberg–Weiss commutators.","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135394387","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
Bernstein–Jackson Inequalities on Gaussian Hilbert Spaces 高斯希尔伯特空间上的Bernstein-Jackson不等式
3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-09-12 DOI: 10.1007/s00041-023-10035-1
Oleh Lopushansky
{"title":"Bernstein–Jackson Inequalities on Gaussian Hilbert Spaces","authors":"Oleh Lopushansky","doi":"10.1007/s00041-023-10035-1","DOIUrl":"https://doi.org/10.1007/s00041-023-10035-1","url":null,"abstract":"Abstract Estimates of best approximations by exponential type analytic functions in Gaussian random variables with respect to the Malliavin derivative in the form of Bernstein–Jackson inequalities with exact constants are established. Formulas for constants are expressed through basic parameters of approximation spaces. The relationship between approximation Gaussian Hilbert spaces and classic Besov spaces are shown.","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135878108","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
Correction: Approximation of Nonlinear Functionals Using Deep ReLU Networks 校正：使用深度ReLU网络逼近非线性泛函
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-08-22 DOI: 10.1007/s00041-023-10038-y
Linhao Song, Jun Fan, Diao Chen, Ding-Xuan Zhou
{"title":"Correction: Approximation of Nonlinear Functionals Using Deep ReLU Networks","authors":"Linhao Song, Jun Fan, Diao Chen, Ding-Xuan Zhou","doi":"10.1007/s00041-023-10038-y","DOIUrl":"https://doi.org/10.1007/s00041-023-10038-y","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48684535","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
The Lower Fourier Dimensions of In-Homogeneous Self-similar Measures 非齐次自相似测度的下傅立叶维数
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-08-18 DOI: 10.1007/s00041-023-10037-z
Shuqin Zhang, Bing Gao, Yingqing Xiao
{"title":"The Lower Fourier Dimensions of In-Homogeneous Self-similar Measures","authors":"Shuqin Zhang, Bing Gao, Yingqing Xiao","doi":"10.1007/s00041-023-10037-z","DOIUrl":"https://doi.org/10.1007/s00041-023-10037-z","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45319100","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
Correction: Maximal Operator in Variable Stummel Spaces 修正：变Stummel空间中的极大算子
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-08-17 DOI: 10.1007/s00041-023-10033-3
Alexandre Almeida, H. Rafeiro
{"title":"Correction: Maximal Operator in Variable Stummel Spaces","authors":"Alexandre Almeida, H. Rafeiro","doi":"10.1007/s00041-023-10033-3","DOIUrl":"https://doi.org/10.1007/s00041-023-10033-3","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49617381","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
Injectivity Conditions for STFT Phase Retrieval on $${mathbb {Z}}$$, $${mathbb {Z}}_d$$ and $${{mathbb {R}}}^d$$ $${mathbb {Z}}$$, $${mathbb {Z}}_d$$和上STFT相位反演的注入性条件 $${{mathbb {R}}}^d$$
3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-08-01 DOI: 10.1007/s00041-023-10026-2
David Bartusel
{"title":"Injectivity Conditions for STFT Phase Retrieval on $${mathbb {Z}}$$, $${mathbb {Z}}_d$$ and $${{mathbb {R}}}^d$$","authors":"David Bartusel","doi":"10.1007/s00041-023-10026-2","DOIUrl":"https://doi.org/10.1007/s00041-023-10026-2","url":null,"abstract":"Abstract We study the phase retrieval problem for the short-time Fourier transform on the groups $${mathbb {Z}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>Z</mml:mi> </mml:math> , $${mathbb {Z}}_d$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mi>d</mml:mi> </mml:msub> </mml:math> and $${{mathbb {R}}}^d$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> </mml:math> . As is well-known, phase retrieval is possible once the windows’s ambiguity function vanishes nowhere. However, there are only few results for windows that fail to meet this condition. The goal of this paper is to establish new and complete characterizations for phase retrieval with more general windows and compare them to existing results. For a fixed window, our uniqueness conditions usually only depend on the signal’s support and are therefore easily comprehensible. In the discrete settings, we also provide examples which show that a non-vanishing ambiguity function is not necessary for a window to do phase retrieval.","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136106825","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
New Atomic Decomposition for Besov Type Space B˙1,10documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$dot{B}^0_{1,1}$$ Besov型空间B的新原子分解*1,10documentclass[12pt]｛minimum｝usepackage｛amsmath｝usepackage｛wasysym｝usepackup｛amsfonts｝usecpackage{amssymb｝usecpackage{amsbsy｝usecackage{mathrsfs｝usecPackage｛upgeek｝setlength｛doddsidemargin｝｛-69pt｝ begin｛document｝$$dot｛B｝^0_{1,1｝$$
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-07-28 DOI: 10.1007/s00041-023-10032-4
T. A. Bui, X. Duong
{"title":"New Atomic Decomposition for Besov Type Space B˙1,10documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$dot{B}^0_{1,1}$$","authors":"T. A. Bui, X. Duong","doi":"10.1007/s00041-023-10032-4","DOIUrl":"https://doi.org/10.1007/s00041-023-10032-4","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42728668","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
Lpdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L_p$$end{document}–Lqdocumentclass[12pt]{minimal} usepackage{amsm Lpdocumentclass[12pt]｛minimal｝usepackage｛amsmath｝usepackage｛wasysym｝ usepackage｛
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-07-27 DOI: 10.1007/s00041-023-10029-z
Haonan Zhang
{"title":"Lpdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L_p$$end{document}–Lqdocumentclass[12pt]{minimal} usepackage{amsm","authors":"Haonan Zhang","doi":"10.1007/s00041-023-10029-z","DOIUrl":"https://doi.org/10.1007/s00041-023-10029-z","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49065280","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
Power Spectrum Unbiasing for Dilation-Invariant Multi-reference Alignment 膨胀不变多基准对准的功率谱无偏
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-07-08 DOI: 10.1007/s00041-023-10023-5
M. Hirn, A. Little
{"title":"Power Spectrum Unbiasing for Dilation-Invariant Multi-reference Alignment","authors":"M. Hirn, A. Little","doi":"10.1007/s00041-023-10023-5","DOIUrl":"https://doi.org/10.1007/s00041-023-10023-5","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44831226","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
Gagliardo–Nirenberg Inequalities in Lorentz Type Spaces Lorentz型空间中的Gagliardo-Nirenberg不等式
IF 1.2 3区 数学
Journal of Fourier Analysis and Applications Pub Date : 2023-06-01 DOI: 10.1007/s00041-023-10018-2
Wei Wei, Yanqing Wang, Yulin Ye
{"title":"Gagliardo–Nirenberg Inequalities in Lorentz Type Spaces","authors":"Wei Wei, Yanqing Wang, Yulin Ye","doi":"10.1007/s00041-023-10018-2","DOIUrl":"https://doi.org/10.1007/s00041-023-10018-2","url":null,"abstract":"","PeriodicalId":15993,"journal":{"name":"Journal of Fourier Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47201251","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: 1
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