A weighted interpolation problem for analytic functions

J. McPhail

Displaying similar documents to “A weighted interpolation problem for analytic functions”

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

Steven Bloom (1990)

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A multiplier characterization of analytic UMD spaces

G. Blower (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.

On the dual of weighted $H^{1} (| z | < 1)$

Richard Wheeden (1979)

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

Jesús Bastero, Mario Milman, Francisco J. Ruiz (2000)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.

H.-Q. Bui, M. Paluszyński, M. Taibleson (1996)

Studia Mathematica

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We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with $A_{\infty}$ weights via a smooth kernel which satisfies “minimal” moment and Tauberian conditions. The results are stated in terms of the mixed norm of a certain maximal function of a distribution in these weighted spaces.

On reverse Hardy's inequality.

Alejandro García del Amo (1993)

Collectanea Mathematica

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Interpolation between Hardy spaces on the bidisc

Kai-Ching Lin (1986)

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Two-weight norm inequalities for the Hardy-Little-wood maximal function for one-parameter rectangles

Oscar Salinas (1991)

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Interpolation of operators when the extreme spaces are $L^{\infty}$

Jesús Bastero, Francisco Ruiz (1993)

Studia Mathematica

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Under some assumptions on the pair $(A_{0}, B_{0})$ , we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are $L^{\infty}$ . Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.