Continuity of pseudodifferential operators with nonsmooth symbols on mixed-norm Lebesgue spaces

被引:0
|
作者
Ivec, Ivan [1 ]
机构
[1] Univ Zagreb, Fac Met, Aleja narodnih heroja 3, Sisak, Croatia
关键词
pseudodifferential operators; nonsmooth symbols; mixed-norm Lebesgue spaces;
D O I
10.2298/FIL2324205I
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory of partial differential equations, as can be seen from recent interest in the continuity of certain classes of pseudodifferential operators on these spaces. In this paper, we use some recent advances in the pseudodifferential calculus for nonsmooth symbols to prove the boundedness of pseudodifferential operators with such symbols on mixed-norm Lebesgue spaces.
引用
收藏
页码:8205 / 8212
页数:8
相关论文
共 50 条
  • [1] Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces
    Nenad Antonić
    Ivan Ivec
    Ivana Vojnović
    [J]. Monatshefte für Mathematik, 2019, 190 : 657 - 674
  • [2] Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces
    Antonic, Nenad
    Ivec, Ivan
    Vojnovic, Ivana
    [J]. MONATSHEFTE FUR MATHEMATIK, 2019, 190 (04): : 657 - 674
  • [3] PSEUDODIFFERENTIAL OPERATORS ON MIXED-NORM α-MODULATION SPACES
    Nielsen, Morten
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (03) : 875 - 887
  • [4] Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces
    Georgiadis, A. G.
    Nielsen, M.
    [J]. MATHEMATISCHE NACHRICHTEN, 2016, 289 (16) : 2019 - 2036
  • [5] The Composition Operator on Mixed-Norm Lebesgue Spaces
    N. A. Evseev
    A. V. Menovshchikov
    [J]. Mathematical Notes, 2019, 105 : 812 - 817
  • [6] Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces
    Chen, Ting
    Sun, Wenchang
    [J]. MATHEMATISCHE ANNALEN, 2021, 379 (3-4) : 1089 - 1172
  • [7] Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces
    Ting Chen
    Wenchang Sun
    [J]. Mathematische Annalen, 2021, 379 : 1089 - 1172
  • [8] The Composition Operator on Mixed-Norm Lebesgue Spaces
    Evseev, N. A.
    Menovshchikov, A. V.
    [J]. MATHEMATICAL NOTES, 2019, 105 (5-6) : 812 - 817
  • [9] Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators
    Kokilashvili, Vakhtang
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (04) : 577 - 583
  • [10] Bounded Operators on Mixed Norm Lebesgue Spaces
    Evseev, Nikita
    Menovschikov, Alexander
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (05) : 2239 - 2258