Hardy spaces associated with some Schrödinger operators

Jacek Dziubański; Jacek Zienkiewicz

Displaying similar documents to “Hardy spaces associated with some Schrödinger operators”

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

Jacek Dziubanski, Jacek Zienkiewicz (1999)

Revista Matemática Iberoamericana

Similarity:

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.

Hardy spaces on compact Lie groups

Brian E. Blank, Dashan Fan (1997)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity:

Convolution operators on Hardy spaces

Chin-Cheng Lin (1996)

Studia Mathematica

Similarity:

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.

A note on Schrödinger operators with polynomial potentials

Jacek Dziubański (1998)

Colloquium Mathematicae

Similarity:

Hardy Inequality in Variable Exponent Lebesgue Spaces

Diening, Lars, Samko, Stefan (2007)

Fractional Calculus and Applied Analysis

Similarity:

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-type inequalities related to degenerate elliptic differential operators

Lorenzo D’Ambrosio (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

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 space estimates for multilinear operators (I).

Ronald R. Coifman, Loukas Grafakos (1992)

Revista Matemática Iberoamericana

Similarity:

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.

Norms of composition operators on the Hardy space.

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

Experimental Mathematics

Similarity:

On the Hardy-type integral operators in Banach function spaces.

Elena Lomakina, Vladimir Stepanov (1998)

Publicacions Matemàtiques

Similarity:

Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.