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An Embedding into an Orlicz Space for Irregular John Domains

An Embedding into an Orlicz Space for Irregular John Domains We prove an embedding into an Orlicz space for irregular John domains when the irregularity is controlled by a logarithmic type function. By constructing an example we show that the embedding is essentially sharp. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

An Embedding into an Orlicz Space for Irregular John Domains

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0053-3
Publisher site
See Article on Publisher Site

Abstract

We prove an embedding into an Orlicz space for irregular John domains when the irregularity is controlled by a logarithmic type function. By constructing an example we show that the embedding is essentially sharp.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 6, 2014

References