Nonlinear Analysis, Theory, Methods and Applications. Vol. 164. 2017. P.. 189-215
Bounded composition operator on Lorentz spaces
We study composition operators on Lorentz spaces. In particular, we obtain necessary and sufficient conditions under which a measurable mapping induces a bounded composition operator. © 2017, Pleiades Publishing, Ltd.
Authors
Evseev N.A. 1, 2, 3
Journal
Publisher
Pleiades Publishing, Ltd.
Issue number
5-6
Language
English
Pages
763-769
State
Published
Link
Volume
102
Year
2017
Organizations
- 1 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
- 2 Novosibirsk State University, Novosibirsk, Russian Federation
- 3 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
composition operator; Lorentz spaces; measurable mappings
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Journal of Computer and Systems Sciences International. Vol. 56. 2017. P.. 1021-1036