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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Sharp weights and BMO-preserving homeomorphisms

Steven Bloom (1990)

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Weighted Hardy inequalities and Hardy transforms of weights

Joan Cerdà, Joaquim Martín (2000)

Studia Mathematica

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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)

Studia Mathematica

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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)

Banach Center Publications

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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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The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators

Suixin He, Shuangping Tao (2023)

Czechoslovak Mathematical Journal

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We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.

Factorization and extrapolation of pairs of weights

Eugenio Hernández (1989)

Studia Mathematica

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A weighted interpolation problem for analytic functions

J. McPhail (1990)

Studia Mathematica

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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.