A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces

被引：0
|
作者：
Zhang, Jian-Ping [1 ]
Li, Yun-Zhang [1 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
Bessel sequence; frame; nonhomogeneous wavelet dual frame; Sobolev spaces; TIGHT FRAMES; PAIRS;
D O I：
10.1186/s13660-016-1232-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In recent years, nonhomogeneous wavelet frames have attracted some mathematicians' interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
引用
收藏
页数：8
相关论文
共 50 条
  • [41] On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
    Mihailescu, Mihai
    Radulescu, Vicentiu
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (09) : 2929 - 2937
  • [42] Compactly supported wavelet bases for Sobolev spaces
    Jia, RQ
    Wang, JZ
    Zhou, DX
    [J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2003, 15 (03) : 224 - 241
  • [43] Approximately dual pairs of wavelet frames
    Benavente, Ana
    Christensen, Ole
    Hasannasab, Marzieh
    Kim, Hong Oh
    Kim, Rae Young
    Kovac, Federico D.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (02)
  • [44] SYMMETRIC INTERPOLATORY DUAL WAVELET FRAMES
    Krivoshein, A. V.
    [J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2017, 28 (03) : 323 - 343
  • [45] Construction of approximate dual wavelet frames
    Feichtinger, Hans G.
    Onchis, Darian M.
    Wiesmeyr, Christoph
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2014, 40 (01) : 273 - 282
  • [46] Characterization of Sobolev and BV spaces
    Leoni, Giovanni
    Spector, Daniel
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 261 (10) : 2926 - 2958
  • [47] Construction of approximate dual wavelet frames
    Hans G. Feichtinger
    Darian M. Onchis
    Christoph Wiesmeyr
    [J]. Advances in Computational Mathematics, 2014, 40 : 273 - 282
  • [48] A new characterization of Sobolev spaces on
    Alabern, Roc
    Mateu, Joan
    Verdera, Joan
    [J]. MATHEMATISCHE ANNALEN, 2012, 354 (02) : 589 - 626
  • [49] Characterization of Sobolev spaces on the sphere
    Antonio Barcelo, Juan
    Luque, Teresa
    Perez-Esteva, Salvador
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (01)
  • [50] A new characterization of Sobolev spaces
    Bourgain, Jean
    Nguyen, Hoai-Minh
    [J]. COMPTES RENDUS MATHEMATIQUE, 2006, 343 (02) : 75 - 80
12345