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.

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.

Multipliers for Hermite expansions.

Sundaram Thangavelu (1987)

Revista Matemática Iberoamericana

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The aim of this paper is to prove certain multiplier theorems for the Hermite series.