An Embedding into an Orlicz Space for Irregular John Domains - UTU Research Portal

A1 Refereed original research article in a scientific journal

An Embedding into an Orlicz Space for Irregular John Domains

Authors: Petteri Harjulehto, Ritva Hurri-Syrjänen, Juha Kapulainen

Publisher: SPRINGER HEIDELBERG

Publication year: 2014

Journal: Computational Methods and Function Theory

Journal name in source: COMPUTATIONAL METHODS AND FUNCTION THEORY

Journal acronym: COMPUT METH FUNCT TH

Volume: 14

Issue: 2-3

First page : 257

Last page: 277

Number of pages: 21

ISSN: 1617-9447

DOI: https://doi.org/10.1007/s40315-014-0053-3

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.