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.

Авторы
Evseev N.A. 1, 2, 3
Journal
Mathematical Notes
Номер выпуска
5-6
Язык
English
Страницы
763-769
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.1134/S0001434617110153
Том
102
Год
2017
Организации
  • 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
Ключевые слова
composition operator; Lorentz spaces; measurable mappings
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