The Calderón commutator along a parabola

Anthony Carbery, Steve Hofmann, James Wright

Type: Article

Publication Date: 1999-05-01

Citations: 3

DOI: https://doi.org/10.1017/s0305004199003515

Abstract

We introduce an analogue of Calderón's first commutator along a parabola and establish its L2 boundedness under essentially sharp hypotheses.

Locations

Mathematical Proceedings of the Cambridge Philosophical Society - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (3)

Action	Title	Year	Authors
+	Compactness of the commutators of parabolic singular integrals	2010	Yanping Chen Yong Ding
+	The commutator of the Kato square root for second order elliptic operators on ℝ n	2016	Yan Ping Chen Yong Ding Steve Hofmann
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Works Cited by This (9)

Action	Title	Year	Authors
+	Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials	1997	Steve Hofmann
+ PDF Chat	<i>L</i><sup><i>p</i></sup>estimates for operators associated to flat curves without the Fourier transform	1995	Anthony Carbery James Vance Stephen Wainger David Watson James Wright
+	The method of layer potentials for the heat equation in time-varying domains	1995	John L. Lewis M. A. Murray
+ PDF Chat	COMMUTATORS OF SINGULAR INTEGRAL OPERATORS	1965	A. P. Calderón
+ PDF Chat	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein
+	A Boundedness Criterion for Generalized Calderon-Zygmund Operators	1984	Guy David Jean-Lin Journé
+ PDF Chat	Singular integrals with mixed homogeneity	1966	Eugene B. Fabes N. M. Rivière
+	L 2 Solvability and Representation by Caloric Layer Potentials in Time- Varying Domains	1996	Steven Hofmann John L. Lewis
+	Hilbert Transforms Along Curves: I. Nilpotent Groups	1985	Michael Christ