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

29 November 2011
17:00
to
18:20
Elena Ushakova
Abstract
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
• Functional Analysis Seminar