Partial retractions for weighted Hardy spaces

Sergei Kisliakov; Quanhua Xu

Displaying similar documents to “Partial retractions for weighted Hardy spaces”

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

Steven Bloom (1990)

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Steven Bloom (1990)

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Weighted Hardy inequalities and Hardy transforms of weights

Joan Cerdà, Joaquim Martín (2000)

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Many problems in analysis are described as weighted norm inequalities that have given rise to different classes of weights, such as $A_{p}$ -weights of Muckenhoupt and $B_{p}$ -weights of Ariño and Muckenhoupt. Our purpose is to show that different classes of weights are related by means of composition with classical transforms. A typical example is the family $M_{p}$ of weights w for which the Hardy transform is $L_{p} (w)$ -bounded. A $B_{p}$ -weight is precisely one for which its Hardy transform is in $M_{p}$ , and also a weight...

Interpolation between $H_{B_{0}}^{1}$ and $L_{B_{1}}^{P}$

Oscar Blasco (1989)

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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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Interpolation between Hardy spaces on the bidisc

Kai-Ching Lin (1986)

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Multilinear Calderón-Zygmund operators on weighted Hardy spaces

Wenjuan Li, Qingying Xue, Kôzô Yabuta (2010)

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Grafakos-Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón-Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_{p ⃗}$ weights and built a theory of weights adapted to multilinear Calderón-Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón-Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for...

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

Richard Wheeden (1979)

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On the generalized Hardy's inequality of McGhee, Pigno and Smith and the problem of interpolation between BMO and a Besov space.

Jaak Peetre, Erik Svensson (1984)

Mathematica Scandinavica

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Factorization and extrapolation of pairs of weights

Eugenio Hernández (1989)

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A weighted interpolation problem for analytic functions

J. McPhail (1990)

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Mapping properties of integral averaging operators

H. Heinig, G. Sinnamon (1998)

Studia Mathematica

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Characterizations are obtained for those pairs of weight functions u and v for which the operators $T f (x) = ʃ_{a (x)}^{b (x)} f (t) d t$ with a and b certain non-negative functions are bounded from $L_{u}^{p} (0, \infty)$ to $L_{v}^{q} (0, \infty)$ , 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.