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Sharp pointwise gradient estimates for Riesz potentials with a bounded density

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We establish sharp inequalities for the Riesz potential and its gradient in $$\mathbb {R}^{n}$$Rn and indicate their usefulness for potential analysis, moment theory and other applications. Click to show full abstract

We establish sharp inequalities for the Riesz potential and its gradient in $$\mathbb {R}^{n}$$Rn and indicate their usefulness for potential analysis, moment theory and other applications.

Keywords: gradient estimates; riesz potentials; sharp pointwise; estimates riesz; pointwise gradient; gradient

Journal Title: Analysis and Mathematical Physics
Year Published: 2018

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