2000 character limit reached
Bounded operators on mixed norm Lebesgue spaces (1711.02453v2)
Published 7 Nov 2017 in math.FA and math.CA
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.