The Composition Operator on Mixed-Norm Lebesgue Spaces-Reference-Cited by-同舟云学术

The Composition Operator on Mixed-Norm Lebesgue Spaces

Published:2019-05 Issue:5-6 Volume:105 Page:812-817
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Evseev N. A.,Menovshchikov A. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0001434619050195.pdf

Reference16 articles.

1. R. K. Singh and J. S. Manhas, Composition Operators on Function Spaces, in North-Holland Math. Stud. (North-Holland Publ., Amsterdam, 1993), Vol. 179 [in Russian].

2. S. K. Vodop’yanov and A. D. Ukhlov, “Superposition operators in Lebesgue spaces and the differentiability of quasiadditive set functions,” Vladikavkaz. Mat. Zh. 4 (1), 11–33 (2002).

3. S. K. Vodop’yanov and A. D. Ukhlov, “Set functions and their applications in the theory of Lebesgue and Sobolev spaces. I,” Mat. Tr. 6 (2), 14–65 (2003) [Siberian Adv. Math. 14 (4), 78–125 (2004)].

4. S. K. Vodop’yanov and N. A. Evseev, “Isomorphisms of Sobolev spaces on Carnot groups and metric properties of mappings,” Dokl. Dokl. Akad. Nauk 464 (2), 131–135 (2015) [Dokl. Math. 92 (2), 532–536 (2015)].

5. N. A. Evseev, “Composition operators in weighted Sobolev spaces on the Carnot group,” Sibirsk. Mat. Zh. 56 (6), 1304–1325 (2015) [Sib. Math. J. 56 (6), 1042–1059 (2015)].

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