Pointwise estimates to the modified Riesz potential
Petteri Harjulehto, Ritva Hurri-Syrj\"anen
TL;DR
This paper establishes pointwise estimates for the modified Riesz potential, demonstrating boundedness in Luxemburg norm and deriving Orlicz embedding results, while analyzing the sharpness of these findings.
Contribution
It introduces new pointwise estimates for the modified Riesz potential and explores their implications for Orlicz embeddings, including sharpness analysis.
Findings
Bounded Luxemburg norm of the modified Riesz potential
Orlicz embedding results derived from the estimates
Analysis of the sharpness of the estimates
Abstract
We prove pointwise estimates to the modified Riesz potential. We show the boundedness of its Luxemburg norm. As an application we obtain Orlicz embedding results. We study the sharpness of the results.
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