Boundedness of non regular pseudo-differential operators on variable exponent Triebel-Lizorkin-Morrey spaces

被引：1
作者：
Congo, Mohamed [1 ]
Ouedraogo, Marie Francoise [1 ]
机构：
[1] Univ Joseph KI ZERBO, UFR Sci Exactes & Appl, Lab Theorie Nombres Algebre Geometr Algebrigue To, 03 BP 7021 Ouaga 03, Ouagadougou, Burkina Faso
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 01期
关键词：
Pseudo-differential operators; Non regular symbols; Variable exponent Triebel-Lizorkin-Morrey spaces; SMOOTHNESS;
D O I：
10.29020/nybg.ejpam.v15i1.4200
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the boundedness of non regular pseudo-differential operators on variable exponent Besov-Morrey spaces epsilon(s(center dot))(p(center dot)u(center dot) q(center dot)) with symbols a(x,xi ) belonging to (C*Sm1 delta.)-S-l For these symbols x-regularity is measured in Holder-Zygmund spaces.
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收藏
页码：47 / 63
页数：17
相关论文
共 18 条
  • [1] Variable Exponent Besov-Morrey Spaces
    Almeida, Alexandre
    Caetano, Antonio
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020, 26 (01)
  • [2] MXIMAL-ALGEBRA OF PSEUDODIFFERENTIAL-OPERATORS
    BOURDAUD, G
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1988, 13 (09) : 1059 - 1083
  • [3] Caetano A., 2020, MATH ANAL APPL, V484
  • [4] Caetano A., 2020, MATH ANAL APPL, V484
  • [5] Decompositions with Atoms and Molecules for Variable Exponent Triebel-Lizorkin-Morrey Spaces
    Caetano, Antonio
    Kempka, Henning
    [J]. CONSTRUCTIVE APPROXIMATION, 2021, 53 (01) : 201 - 234
  • [6] Coifman R., 1978, OPERATEURS PSEUDO DI
  • [7] CruzUribe DV, 2013, APPL NUMER HARMON AN, DOI 10.1007/978-3-0348-0548-3
  • [8] Function spaces of variable smoothness and integrability
    Diening, L.
    Hasto, P.
    Roudenko, S.
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (06) : 1731 - 1768
  • [9] Lebesgue and Sobolev Spaces with Variable Exponents
    Diening, Lars
    Harjulehto, Petteri
    Hasto, Peter
    Ruzicka, Michael
    [J]. LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS, 2011, 2017 : 1 - +
  • [10] Spaces of Variable Smoothness and Integrability: Characterizations by Local Means and Ball Means of Differences
    Kempka, Henning
    Vybiral, Jan
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2012, 18 (04) : 852 - 891
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