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

Richard Wheeden

Displaying similar documents to “On the dual of weighted $H^{1} (| z | < 1)$ ”

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

Benjamin Muckenhoupt, Richard Wheeden (1978)

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Weighted inequalities on product domains

Shuichi Sato (1989)

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Sharp weights and BMO-preserving homeomorphisms

Steven Bloom (1990)

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

Steven Bloom (1990)

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Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series

R. Gundy, R. Wheeden (1974)

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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.

$L^{p}$ weighted inequalities for the dyadic square function

Akihito Uchiyama (1995)

Studia Mathematica

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We prove that $ʃ {(S_{d} f)}^{p} V d x \leq C_{p, n} ʃ {| f |}^{p} M_{d}^{([p / 2] + 2)} V d x$ , where $S_{d}$ is the dyadic square function, $M_{d}^{(k)}$ is the k-fold application of the dyadic Hardy-Littlewood maximal function and p > 2.

Weighted rearrangements and higher integrability results

Michelangelo Franciosi (1989)

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On the resolvents of dyadic paraproducts.

María Cristina Pereyra (1994)

Revista Matemática Iberoamericana

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We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].

Weighted inequalities for square and maximal functions in the plane

Javier Duoandikoetxea, Adela Moyua (1992)

Studia Mathematica

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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.

Weighted inequalities for vector-valued maximal functions and singular integrals

Kenneth Andersen, Russel John (1981)

Studia Mathematica

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Displaying similar documents to “On the dual of weighted H 1 ( | z | < 1 ) ”

Displaying similar documents to “On the dual of weighted $H^{1} (| z | < 1)$ ”