Sharp weights and BMO-preserving homeomorphisms

Steven Bloom

Displaying similar documents to “Sharp weights and BMO-preserving homeomorphisms”

Homeomorphisms preserving A.

Raymond L. Johnson, Christoph J. Neugebauer (1987)

Revista Matemática Iberoamericana

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

Steven Bloom (1990)

Studia Mathematica

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

Richard Wheeden (1979)

Banach Center Publications

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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.

On the dual of weighted $H^{1}$ of the half-space

Benjamin Muckenhoupt, Richard Wheeden (1978)

Studia Mathematica

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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 and Schur's Lemma

Michael Christ (1984)

Studia Mathematica

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A remark on Fefferman-Stein's inequalities.

Y. Rakotondratsimba (1998)

Collectanea Mathematica

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It is proved that, for some reverse doubling weight functions, the related operator which appears in the Fefferman Stein's inequality can be taken smaller than those operators for which such an inequality is known to be true.

Pointwise multipliers on weighted BMO spaces

Eiichi Nakai (1997)

Studia Mathematica

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Let E and F be spaces of real- or complex-valued functions defined on a set X. A real- or complex-valued function g defined on X is called a pointwise multiplier from E to F if the pointwise product fg belongs to F for each f ∈ E. We denote by PWM(E,F) the set of all pointwise multipliers from E to F. Let X be a space of homogeneous type in the sense of Coifman-Weiss. For 1 ≤ p < ∞ and for $ϕ : X \times ℝ_{+} \to ℝ_{+}$ , we denote by $b m o_{ϕ, p} (X)$ the set of all functions $f \in L_{l o c}^{p} (X)$ such that $s u p_{a \in X, r > 0} 1 / ϕ (a, r) (1 / μ (B (a, r)) ʃ_{B (a, r)} | f (x) - f_{B (a, r)} {|^{p} d μ)}^{1 / p} < \infty$ , where B(a,r) is the ball centered...

Weighted inequalities for the two-dimensional Hardy operator

E. Sawyer (1985)

Studia Mathematica

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