We study the boundedness of the maximal operator, potential type operators and operators with fixed singularity (of Hardy and Hankel type) in the spaces over a bounded open set in with a power weight , , and an exponent satisfying the Dini-Lipschitz condition.
Cite this article
Vakhtang Kokilashvili, Stefan Samko, Maximal and Fractional Operators in Weighted Spaces. Rev. Mat. Iberoam. 20 (2004), no. 2, pp. 493–515DOI 10.4171/RMI/398