An analogue of Hardy's theorem for the Heisenberg group

S. Thangavelu

Displaying similar documents to “An analogue of Hardy's theorem for the Heisenberg group”

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.

Hardy and Cowling-Price theorems for a Cherednik type operator on the real line

Mohamed Ali Mourou (2015)

Commentationes Mathematicae Universitatis Carolinae

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This paper is aimed to establish Hardy and Cowling-Price type theorems for the Fourier transform tied to a generalized Cherednik operator on the real line.

An Analogue of a Hardy-Littlewood-Fejér Inequality for Upper Triangular Trace Class Operators.

Allen L. Shields (1983)

Mathematische Zeitschrift

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Pseudodifferential operators and Hardy kernels on $L^{p} (𝐑^{+})$

Jeff E. Lewis, Cesare Parenti (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Norms of composition operators on the Hardy space.

Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)

Experimental Mathematics

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Multiplier operators on product spaces

Hung Viet Le (2002)

Studia Mathematica

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The author proves the boundedness for a class of multiplier operators on product spaces. This extends a result obtained by Lung-Kee Chen in 1994.

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.

Hardy space H associated to Schrödinger operator with potential satisfying reverse Hölder inequality.

Jacek Dziubanski, Jacek Zienkiewicz (1999)

Revista Matemática Iberoamericana

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Let {T} be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space H by means of a maximal function associated with the semigroup {T}. Atomic and Riesz transforms characterizations of H are shown.