Fractional integral operators on Herz spaces for supercritical indices

We consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q≥n/β. We introduce a new function space that is a variant of Lipschitz space. Our results are optimal.

Bibliographic Details
Main Author: Yasuo Komori-Furuya
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2011/346768