Hardy-Steklov operators in Lebesgue spaces on the semi-axis

Hardy-Steklov operators in Lebesgue spaces on the semi-axis

Tue, 29/11/2011
17:00 		Elena Ushakova (York) Functional Analysis Seminar Add to calendar L3
Hardy-Steklov operators in Lebesgue spaces on the semi-axis
The talk presents a collection of results about mapping properties of the Hardy-Steklov operator $ (Hf)(x)=\int_{a(x)}^{b(x)} f(y) dy $ in weighted Lebesgue spaces on the semi-axis. In particular, the explicit boundedness and compactness criteria for the operator are given and a number of applications are obtained. A part of the results is based on a joint paper with Prof. V.D. Stepanov