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

Published 18 Aug 2025 in math.FA | (2508.12771v1)

Abstract: In this article we study some new pointwise inequalities between rough singular integral operators and weighted Riesz-type operators. We will thus obtain a wider class of subrepresentation formulas that will lead us to new weighted Sobolev-type inequalities.

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