Embeddings into Orlicz spaces via the modified Riesz potential
Functional Analysis
2015-08-04 v1 Classical Analysis and ODEs
Abstract
We study point-wise estimates for the modified Riesz potential. We show that the point-wise estimates imply embeddings into Orlicz spaces from the L^1_p-space where the functions are defined in non-smooth domains. The Orlicz functions depend on the geometry of the domain. We show that the Orlicz function is optimal when p=1.
Keywords
Cite
@article{arxiv.1508.00362,
title = {Embeddings into Orlicz spaces via the modified Riesz potential},
author = {Petteri Harjulehto and Ritva Hurri-Syrjänen},
journal= {arXiv preprint arXiv:1508.00362},
year = {2015}
}