DMCA
Two limiting cases of Sobolev imbeddings
by
D. E. Edmunds
,
M. Krbec
| Venue: | Houston J. Math |
| Citations: | 14 - 6 self |
BibTeX
@ARTICLE{Edmunds_twolimiting,
author = {D. E. Edmunds and M. Krbec},
title = {Two limiting cases of Sobolev imbeddings},
journal = {Houston J. Math},
year = {},
pages = {119--128}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Communicated by H. Brezis. ABSTRACT. Generalizations of Trudinger's and Br•zis-Wainger's limiting imbedding theorems are proved and their connections are studied. 1. Introduction. Much attention has been paid to various generalizations of Trudinger's celebrated limiting imbedding theorem [22] to fractional order spaces H•N/p and other interesting refinements ([1], [12], [16], [20],...) and, recently, also to Orlicz-Sobolev spaces close to H • in [9]. As is well known, a function
