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
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