David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi

On the Boundedness and Compactness of Weighted Hardy Operators in Spaces $L^{p(x)}$

Abstract:
Necessary conditions and sufficient conditions for the boundedness/compactness of weighted Hardy operators are established in generalized Lebesgue spaces $L^{p(x)}$.

Keywords:
Weighted Hardy operators, generalized Lebesgue spaces, boundedness, compactness, weight.

MSC 2000: 46B50, 47B38