Bounded Operators on Mixed Norm Lebesgue Spaces

Nikita Evseev, Alexander Menovschikov

Research output: Contribution to journalArticlepeer-review

Abstract

We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators on mixed norm Lebesgue spaces are given (in the case when the inducing mapping preserve the priority of variables). For a certain class of integral operators, we provide sufficient conditions for boundedness. We conclude by applying the developed technique to the investigation of Hardy–Steklov type operators.

Original languageEnglish
Pages (from-to)2239-2258
Number of pages20
JournalComplex Analysis and Operator Theory
Volume13
Issue number5
DOIs
Publication statusPublished - 1 Jul 2019

Keywords

  • Composition operator
  • Hardy operator
  • Mixed norm Lebesgue spaces

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