An L-1-type estimate for Riesz potentials

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DC Field	Value	Language
dc.contributor.author	Schikorra, Armin	en_US
dc.contributor.author	Spector, Daniel	en_US
dc.contributor.author	Van Schaftingen, Jean	en_US
dc.date.accessioned	2018-08-21T05:53:20Z	-
dc.date.available	2018-08-21T05:53:20Z	-
dc.date.issued	2017-01-01	en_US
dc.identifier.issn	0213-2230	en_US
dc.identifier.uri	http://dx.doi.org/10.4171/RMI/937	en_US
dc.identifier.uri	http://hdl.handle.net/11536/144564	-
dc.description.abstract	In this paper we establish new L-1-type estimates for the classical Riesz potentials of order alpha is an element of (0, N): parallel to I alpha u parallel to N-L/(N-alpha)(R-N) <= C parallel to Ru parallel to (L1(RN; RN)). This sharpens the result of Stein and Weiss on the mapping properties of Riesz potentials on the real Hardy space H-1 (R-N) and provides a new family of L-1-Sobolev inequalities for the Riesz fractional gradient.	en_US
dc.language.iso	en_US	en_US
dc.subject	Riesz potentials	en_US
dc.subject	Riesz transforms	en_US
dc.subject	Sobolev inequalities	en_US
dc.subject	fractional gradient	en_US
dc.title	An L-1-type estimate for Riesz potentials	en_US
dc.type	Article	en_US
dc.identifier.doi	10.4171/RMI/937	en_US
dc.identifier.journal	REVISTA MATEMATICA IBEROAMERICANA	en_US
dc.citation.volume	33	en_US
dc.citation.spage	291	en_US
dc.citation.epage	303	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000396487100012	en_US
Appears in Collections:	Articles