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arXiv:1803.11376 [math.FA]AbstractReferencesReviewsResources

Sharp pointwise gradient estimates for Riesz potentials with a bounded density

Vladimir G. Tkachev

Published 2018-03-30Version 1

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

Comments: 14 pages, submitted to Analysis and Mathematical Physics
Journal: Anal. Math. Phys. 8 (2018), no. 4, 711-730
Categories: math.FA, math.AP, math.CA
Subjects: 31B15, 31C05, 44A12, 35J62
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