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Article: On an endpoint Kato-Ponce inequality
Title | On an endpoint Kato-Ponce inequality |
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Authors | |
Issue Date | 2014 |
Citation | Differential and Integral Equations, 2014, v. 27, n. 11-12, p. 1037-1072 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/327017 |
ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 0.790 |
DC Field | Value | Language |
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dc.contributor.author | Bourgain, Jean | - |
dc.contributor.author | Li, Dong | - |
dc.date.accessioned | 2023-03-31T05:28:11Z | - |
dc.date.available | 2023-03-31T05:28:11Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Differential and Integral Equations, 2014, v. 27, n. 11-12, p. 1037-1072 | - |
dc.identifier.issn | 0893-4983 | - |
dc.identifier.uri | http://hdl.handle.net/10722/327017 | - |
dc.description.abstract | We 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.language | eng | - |
dc.relation.ispartof | Differential and Integral Equations | - |
dc.title | On an endpoint Kato-Ponce inequality | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-84908172774 | - |
dc.identifier.volume | 27 | - |
dc.identifier.issue | 11-12 | - |
dc.identifier.spage | 1037 | - |
dc.identifier.epage | 1072 | - |