Optimal Regularity Properties of the Generalized Sobolev Spaces

We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .

Bibliographic Details
Main Authors: G. E. Karadzhov, Qaisar Mehmood
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/761648
Description
Summary:We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
ISSN:0972-6802
1758-4965