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16 March 2025

» arxiv » 1508.0362

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Embeddings into Orlicz spaces via the modified Riesz potential
Petteri Harjulehto ; Ritva Hurri-Syrjänen ;
Date:	3 Aug 2015
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.
Source:	arXiv, 1508.0362
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