Bounded operators on mixed norm Lebesgue spaces

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. 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.

10 pages

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• Bounded operators on mixed norm Lebesgue spaces

Cited by in corpus (2)

• Bounded operators on mixed norm Lebesgue spaces
• Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces