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arXiv · 1508.00362

Embeddings into Orlicz spaces via the modified Riesz potential

Petteri Harjulehto·Ritva Hurri-Syrjänen
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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.

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Petteri Harjulehto, Ritva Hurri-Syrjänen. 2015-08-03. Embeddings into Orlicz spaces via the modified Riesz potential. https://arxiv.org/abs/1508.00362

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