Bounded composition operator on Lorentz spaces
- Authors: Evseev N.A.1,2,3
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Peoples’ Friendship University of Russia
- Issue: Vol 102, No 5-6 (2017)
- Pages: 763-769
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150313
- DOI: https://doi.org/10.1134/S0001434617110153
- ID: 150313
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Abstract
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.
About the authors
N. A. Evseev
Sobolev Institute of Mathematics; Novosibirsk State University; Peoples’ Friendship University of Russia
Author for correspondence.
Email: evseev@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk; Moscow
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