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arXiv · 2307.10417

Pointwise estimates for rough operators with applications to Sobolev inequalities

Cong Hoang·Kabe Moen·Carlos Pérez
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Abstract

We investigate Sobolev inequalities for several rough operators. We prove that several operators satisfy a pointwise bound by the Riesz potential applied to the gradient. From this inequality, we derive several new Sobolev-type inequalities with an operator on the left-hand side.

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Cong Hoang, Kabe Moen, Carlos Pérez. 2023-07-19. Pointwise estimates for rough operators with applications to Sobolev inequalities. https://arxiv.org/abs/2307.10417

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