Tropical Journal of Pharmaceutical Research.
University of Benin.
Vol. 18.
2019.
P. 1133-1140
The Composition Operator on Mixed-Norm Lebesgue Spaces
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. © 2019, Pleiades Publishing, Ltd.
Authors
Evseev N.A.
1,
2,
3
,
Menovshchikov A.V.
2,
3
Journal
Number of issue
5-6
Language
English
Pages
812-817
Status
Published
Link
Volume
105
Year
2019
Organizations
- 1 Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
- 2 Novosibirsk State University, Novosibirsk, 630090, Russian Federation
- 3 RUDN University, Moscow, 117198, Russian Federation
Keywords
composition operator; measurable mappings; mixed-norm Lebesgue spaces
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Other records
Mathematical Notes.
Vol. 105.
2019.
P. 674-683