Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

被引：0
|
作者：
Menovschikov A. [1 ]
Ukhlov A. [2 ]
机构：
[1] Sobolev Institute of Mathematics, Novosibirsk
[2] Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva
来源：
Journal of Mathematical Sciences | 2021年 / 258卷 / 3期
关键词：
Quasiconformal mappings; Sobolev spaces;
D O I：
10.1007/s10958-021-05549-2
中图分类号：
学科分类号：
摘要：
In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators from Hardy–Sobolev spaces to Sobolev spaces. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
引用
收藏
页码：313 / 325
页数：12
相关论文
共 50 条
  • [1] BMO-quasiconformal mappings
    Ryazanov, V
    Srebro, U
    Yakubov, E
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2001, 83 (1): : 1 - 20
  • [2] COMPOSITION OPERATORS ON HARDY-SOBOLEV SPACES
    He, Li
    Cao, Guang Fu
    He, Zhong Hua
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (03): : 255 - 267
  • [3] Composition operators on Hardy-Sobolev spaces
    Li He
    Guang Fu Cao
    Zhong Hua He
    [J]. Indian Journal of Pure and Applied Mathematics, 2015, 46 : 255 - 267
  • [4] BMO-quasiconformal mappings
    V. Ryazanov
    U. Srebro
    E. Yakubov
    [J]. Journal d’Analyse Mathématique, 2001, 83 : 1 - 20
  • [5] Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels
    He, Li
    [J]. AIMS MATHEMATICS, 2023, 8 (02): : 2708 - 2719
  • [6] Toeplitz operators on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 479 (02) : 2165 - 2195
  • [7] FREDHOLM COMPOSITION OPERATORS ON HARDY-SOBOLEV SPACES WITH BOUNDED REPRODUCING KERNEL
    He, Li
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (08) : 3457 - 3468
  • [8] Spectral theory of multiplication operators on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    Zhu, Kehe
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (05) : 1259 - 1279
  • [9] Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces
    Cao, Guangfu
    He, Li
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (08) : 1333 - 1361
  • [10] COMPACTNESS OF HANKEL OPERATORS ON HARDY-SOBOLEV SPACES OF THE POLYDISK
    Ahern, Patrick
    Youssfi, El Hassan
    Zhu, Kehe
    [J]. JOURNAL OF OPERATOR THEORY, 2009, 61 (02) : 301 - 312
12345