An -type estimate for Riesz potentials
Armin Schikorra
Universität Freiburg, GermanyDaniel Spector
National Chiao Tung University, Hsinchu, TaiwanJean Van Schaftingen
Université Catholique de Louvain, Belgium
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Abstract
In this paper we establish new -type estimates for the classical Riesz potentials of order :
This sharpens the result of Stein and Weiss on the mapping properties of Riesz potentials on the real Hardy space and provides a new family of -Sobolev inequalities for the Riesz fractional gradient.
Cite this article
Armin Schikorra, Daniel Spector, Jean Van Schaftingen, An -type estimate for Riesz potentials. Rev. Mat. Iberoam. 33 (2017), no. 1, pp. 291–303
DOI 10.4171/RMI/937