Convolution operators on Hardy spaces

Chin-Cheng Lin

Type: Article

Publication Date: 1996-01-01

Citations: 3

DOI: https://doi.org/10.4064/sm-120-1-53-59

Abstract

We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces $H^p(G)$, where G is a homogeneous group.

Locations

Studia Mathematica - View - PDF

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Works Cited by This (6)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Hardy spaces on homogeneous groups	1982	Gerald B. Folland Elias M. Stein
+ PDF Chat	$L^p$ multipliers and their $H^1$-$L^1$ estimates on the Heisenberg group	1995	Chin-Cheng Lin
+ PDF Chat	Extensions of Hardy spaces and their use in analysis	1977	Ronald R. Coifman Guido Weiss
+	Representation theorems for holomorphic and harmonic functions in L[P] . The molecular characterization of certain Hardy spaces	1980	Ronald R. Coifman Richard Rochberg Mitchell Taibleson Guido Weiss
+ PDF Chat	Littlewood-Paley theory and ϵ-families of operators	1990	Yongsheng Han Björn Jawerth Mitchell Taibleson Guido Weiss