An Embedding into an Orlicz Space for Irregular John Domains



: Petteri Harjulehto, Ritva Hurri-Syrjänen, Juha Kapulainen

Publisher: SPRINGER HEIDELBERG

: 2014

: Computational Methods and Function Theory

: COMPUTATIONAL METHODS AND FUNCTION THEORY

: COMPUT METH FUNCT TH

: 14

: 2-3

: 257

: 277

: 21

: 1617-9447

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


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.




Last updated on 2024-26-11 at 20:36