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arXiv · 2508.12771

New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates

Diego Chamorro·Anca-Nicoleta Marcoci·Liviu-Gabriel Marcoci
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Abstract

In this article we study some new pointwise inequalities between rough singular integral operators, weighted maximal functions of the gradient and weighted Morrey spaces. These pointwise estimates will naturally lead us to a new class of weighted Sobolev-type inequalities.

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Diego Chamorro, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci. 2025-08-18. New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates. https://arxiv.org/abs/2508.12771

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