A Coifman-Rochberg type characterization of quasi-power weights.

Jesús Bastero; Mario Milman; Francisco J. Ruiz

Displaying similar documents to “A Coifman-Rochberg type characterization of quasi-power weights.”

Calderon weights and the real interpolation method.

J. Bastero, M. Milman, F. J. Ruiz (1996)

Revista Matemática de la Universidad Complutense de Madrid

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We introduce a class of weights for a which a rich theory of real interpolation can be developed. In particular it led us to extend the commutator theorems associated to this method.

Weighted norm inequalities and Schur's Lemma

Michael Christ (1984)

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An interpolation theorem with $A_{p}$ -weighted $L^{p}$ spaces

Steven Bloom (1990)

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Partial retractions for weighted Hardy spaces

Sergei Kisliakov, Quanhua Xu (2000)

Studia Mathematica

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Let 1 ≤ p ≤ ∞ and let $w_{0}, w_{1}$ be two weights on the unit circle such that $l o g (w_{0} w_{1}^{- 1}) \in B M O$ . We prove that the couple $(H_{p} (w_{0}), H_{p} (w_{1}))$ of weighted Hardy spaces is a partial retract of $(L_{p} (w_{0}), L_{p} (w_{1}))$ . This completes previous work of the authors. More generally, we have a similar result for finite families of weighted Hardy spaces. We include some applications to interpolation.

Weighted norm inequalities for general maximal operators.

Carlos Pérez Moreno (1991)

Publicacions Matemàtiques

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The main purpose of this paper is to use some of the results and techniques in [9] to further investigate weighted norm inequalities for Hardy-Littlewood type maximal operators.

First order interpolation inequalities with weights

L. Caffarelli, R. Kohn, L. Nirenberg (1984)

Compositio Mathematica

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Weighted inequalities for the two-dimensional Hardy operator

E. Sawyer (1985)

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A weighted interpolation problem for analytic functions

J. McPhail (1990)

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Interpolation of weighted $L_{p}$ -spaces

Gunnar Sparr (1978)

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A weighted version of Journé's lemma.

Donald Krug, Alberto Torchinsky (1994)

Revista Matemática Iberoamericana

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In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces H (R x R ) and a description of their duals when p is close to 1.