Embeddings into Orlicz spaces via the modified Riesz potential
classification
🧮 math.FA
math.CA
keywords
orliczembeddingsestimatesfunctionsmodifiedpoint-wisepotentialriesz
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.