Sharp pointwise gradient estimates for Riesz potentials with a bounded density
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DOI: 10.1007/s13324-018-0230-z
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. read more here.
Keywords: gradient estimates; riesz potentials; sharp pointwise; estimates riesz ... See more keywords
Growth properties near the origin for generalized Riesz potentials
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.068
Abstract: Abstract According to Riesz decomposition theorem, superharmonic functions on the punctured unit ball are represented as the sum of generalized potentials and harmonic functions. In this paper we study growth properties near the origin of… read more here.
Keywords: properties near; generalized riesz; riesz potentials; growth properties ... See more keywords
Continuity Points Via Riesz Potentials for ℂ-Elliptic Operators
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DOI: 10.1093/qmathj/haaa027
Abstract: We establish a Riesz potential criterion for Lebesgue continuity points of functions of bounded A-variation, where A is a C-elliptic differential operator of arbitrary order. This result might even be of interest for classical functions… read more here.
Keywords: riesz; riesz potentials; points via; via riesz ... See more keywords