电邮这篇文章 The Composition Operator on Mixed-Norm Lebesgue Spaces
- 作者: Evseev N.A.1,2,3, Menovshchikov A.V.2,3
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隶属关系:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- RUDN University
- 期: 卷 105, 编号 5-6 (2019)
- 页面: 812-817
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151769
- DOI: https://doi.org/10.1134/S0001434619050195
- ID: 151769
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详细
It is known that the boundedness of the composition operator on Lebesgue spaces is equivalent to the integrability of the volume derivative of the measurable mapping inducing the given operator. In the present paper, we prove a similar result for mixed-norm Lebesgue spaces in the class of mappings preserving the priority of the variables.
作者简介
N. Evseev
Sobolev Institute of Mathematics; Novosibirsk State University; RUDN University
编辑信件的主要联系方式.
Email: evseev@math.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090; Moscow, 117198
A. Menovshchikov
Novosibirsk State University; RUDN University
编辑信件的主要联系方式.
Email: menovschikov@math.nsc.ru
俄罗斯联邦, Novosibirsk, 630090; Moscow, 117198
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