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
![An $L^1$-type estimate for Riesz potentials cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-33-issue-1.png&w=3840&q=90)
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