Convolution operators on Hardy spaces

Chin-Cheng Lin

Displaying similar documents to “Convolution operators on Hardy spaces”

Hardy spaces associated with some Schrödinger operators

Jacek Dziubański, Jacek Zienkiewicz (1997)

Studia Mathematica

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For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy $H_{A}^{1}$ space associated with A. An atomic characterization of $H_{A}^{1}$ is shown.

Littlewood-Paley g-functions with rough kernels on homogeneous groups

Yong Ding, Xinfeng Wu (2009)

Studia Mathematica

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Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾

An inversion problem for singular integral operators on homogeneous groups

Paweł Głowacki (1987)

Studia Mathematica

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Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces

Yongsheng Han, Dachun Yang (2003)

Studia Mathematica

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New norms for some distributions on spaces of homogeneous type which include some fractals are introduced. Using inhomogeneous discrete Calderón reproducing formulae and the Plancherel-Pólya inequalities on spaces of homogeneous type, the authors prove that these norms give a new characterization for the Besov and Triebel-Lizorkin spaces with p, q > 1 and can be used to introduce new inhomogeneous Besov and Triebel-Lizorkin spaces with p, q ≤ 1 on spaces of homogeneous type. Moreover,...

Hardy Inequality in Variable Exponent Lebesgue Spaces

Diening, Lars, Samko, Stefan (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26D10, 46E30, 47B38 We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.

The Rockland condition for nondifferential convolution operators II

Paweł Głowacki (1991)

Studia Mathematica

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Analogues of Hardy’s inequality in $R^{n}$

Tatjana Ostrogorski (1988)

Studia Mathematica

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Generalized homogeneous Besov spaces and their applications

Mejjaoli, Hatem (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: Primary 35L05. Secondary 46E35, 35J25, 22E30. In this paper we define the homogeneous Besov spaces associated with the Dunkl operators on R^d, and we give a complete analysis on these spaces and same applications.

A note on Schrödinger operators with polynomial potentials

Jacek Dziubański (1998)

Colloquium Mathematicae

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Hardy-type inequalities related to degenerate elliptic differential operators

Lorenzo D’Ambrosio (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We prove some Hardy-type inequalities related to quasilinear second-order degenerate elliptic differential operators $L_{p} u : = - \nabla_{L}^{*} ({|\nabla_{L} u|}^{p - 2} \nabla_{L} u)$ . If $φ$ is a positive weight such that $- L_{p} φ \geq 0$ , then the Hardy-type inequalityholds. We find an explicit value of the constant involved, which, in most cases, results optimal. As particular case we derive Hardy inequalities for subelliptic operators on Carnot Groups.

Hardy spaces on compact Lie groups

Brian E. Blank, Dashan Fan (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Hardy space estimates for multilinear operators (I).

Ronald R. Coifman, Loukas Grafakos (1992)

Revista Matemática Iberoamericana

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In this article we study bilinear operators given by inner products of finite vectors of Calderón-Zygmund operators. We find that necessary and sufficient condition for these operators to map products of Hardy spaces into Hardy spaces is to have a certain number of moments vanishing and under this assumption we prove a Hölder-type inequality in the H space context.