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Article: On an endpoint Kato-Ponce inequality

TitleOn an endpoint Kato-Ponce inequality
Authors
Bourgain, JeanLi, Dong
Issue Date2014
Citation
Differential and Integral Equations, 2014, v. 27, n. 11-12, p. 1037-1072 How to Cite?
AbstractWe prove that the L∞ end-point Kato-Ponce inequality (Leibniz rule) holds for the fractional Laplacian operators D3 = (-Δ)s/2, Js = (1-Δ) s/2, s > 0. This settles a conjecture by Grafakos, Maldonado and Naibo [7]. We also establish a family of new refined Kato-Ponce commutator estimates. Some of these inequalities are in borderline spaces.
Persistent Identifierhttp://hdl.handle.net/10722/327017
ISSN
0893-4983
2023 Impact Factor: 1.8
2023 SCImago Journal Rankings: 0.790

 

DC FieldValueLanguage
dc.contributor.authorBourgain, Jean-
dc.contributor.authorLi, Dong-
dc.date.accessioned2023-03-31T05:28:11Z-
dc.date.available2023-03-31T05:28:11Z-
dc.date.issued2014-
dc.identifier.citationDifferential and Integral Equations, 2014, v. 27, n. 11-12, p. 1037-1072-
dc.identifier.issn0893-4983-
dc.identifier.urihttp://hdl.handle.net/10722/327017-
dc.description.abstractWe prove that the L∞ end-point Kato-Ponce inequality (Leibniz rule) holds for the fractional Laplacian operators D3 = (-Δ)s/2, Js = (1-Δ) s/2, s > 0. This settles a conjecture by Grafakos, Maldonado and Naibo [7]. We also establish a family of new refined Kato-Ponce commutator estimates. Some of these inequalities are in borderline spaces.-
dc.languageeng-
dc.relation.ispartofDifferential and Integral Equations-
dc.titleOn an endpoint Kato-Ponce inequality-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-84908172774-
dc.identifier.volume27-
dc.identifier.issue11-12-
dc.identifier.spage1037-
dc.identifier.epage1072-

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