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math.FA2018★ 1 cited
Sharp pointwise gradient estimates for Riesz potentials with a bounded density
Vladimir G. Tkachev
We establish sharp pointwise inequalities for the Riesz potential and its gradient in and indicate their usefulness for potential analysis, moment theory and other…
math.FA2009★ 3 cited
Subharmonicity of higher dimensional exponential transforms
Vladimir Tkachev
Our main result is an extension of the classical Cauchy inequality for the case of bounded densities. In particular, this implies subharmonicity of the function , where $V_…