Leibniz’s Rule, Sampling and Wavelets on Mixed Lebesgue Spaces

被引：0
|
作者：
Rodolfo H. Torres
Erika L. Ward
机构：
[1] University of Kansas,Department of Mathematics
[2] Jacksonville University,Department of Mathematics
来源：
Journal of Fourier Analysis and Applications | 2015年 / 21卷
关键词：
Mixed Lebesgue spaces; Wavelets; Littlewood–Paley theory; Function spaces; Calderón–Zygmund theory; Leibniz’s rule for fractional derivatives; Primary 42B20; 47B07; Secondary 42B25; 47G99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Several new results about Leibniz’s rule, sampling, and wavelets in the context of mixed Lebesgue spaces are presented. The results obtained rely in part on vector-valued estimates for Calderón–Zygmund operators and the use of appropriate maximal functions and Littlewood–Paley estimates.
引用
收藏
页码：1053 / 1076
页数：23
相关论文
共 50 条
  • [21] Mixed Norm Inequalities for Lebesgue Spaces
    Jain, Pankaj
    Kumari, Santosh
    Singh, Monika
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2020, 90 (05) : 783 - 787
  • [22] Average sampling and reconstruction for signals in shift-invariant subspaces of weighted mixed Lebesgue spaces
    Wang, Suping
    Zhang, Jiaxing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9507 - 9523
  • [23] Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces
    Zhang, Qingyue
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2020, 18 (03)
  • [24] A sharp Leibniz rule for BV functions inmetric spaces
    Lahti, Panu
    REVISTA MATEMATICA COMPLUTENSE, 2020, 33 (03): : 797 - 816
  • [25] STRICT TOPOLOGY AS A MIXED TOPOLOGY ON LEBESGUE SPACES
    Maghsoudi, Saeid
    Nasr-Isfahani, Rasoul
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 84 (03) : 504 - 515
  • [26] Bounded Operators on Mixed Norm Lebesgue Spaces
    Evseev, Nikita
    Menovschikov, Alexander
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (05) : 2239 - 2258
  • [27] Bounded Operators on Mixed Norm Lebesgue Spaces
    Nikita Evseev
    Alexander Menovschikov
    Complex Analysis and Operator Theory, 2019, 13 : 2239 - 2258
  • [28] Exponential Sampling Series: Convergence in Mellin–Lebesgue Spaces
    Carlo Bardaro
    Ilaria Mantellini
    Gerhard Schmeisser
    Results in Mathematics, 2019, 74
  • [29] On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm
    Bandaliyev, Rovshan A.
    Serbetci, Ayhan
    Hasanov, Sabir G.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2018, 49 (04): : 765 - 782
  • [30] On Hardy Inequality in Variable Lebesgue Spaces with Mixed Norm
    Rovshan A. Bandaliyev
    Ayhan Serbetci
    Sabir G. Hasanov
    Indian Journal of Pure and Applied Mathematics, 2018, 49 : 765 - 782
12345