Date
Tue, 29 Nov 2011
Time
17:00 - 18:20
Location
L3
Speaker
Elena Ushakova
Organisation
York

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

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