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

R. Gundy; R. Wheeden

Displaying similar documents to “Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series”

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Benjamin Muckenhoupt (1974)

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Weighted norm inequalities and Schur's Lemma

Michael Christ (1984)

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A remark on Fefferman-Stein's inequalities.

Y. Rakotondratsimba (1998)

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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.

Weighted inequalities on product domains

Shuichi Sato (1989)

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Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.

Y. Rakotondratsimba (1994)

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For some pairs of weight functions u, v which satisfy the well-known Muckenhoupt conditions, we derive the boundedness of the maximal fractional operator M (0 ≤ s < n) from L to L with q < p.

Weighted inequalities for the two-dimensional Hardy operator

E. Sawyer (1985)

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Weighted norm inequalities for general maximal operators.

Carlos Pérez Moreno (1991)

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The main purpose of this paper is to use some of the results and techniques in [9] to further investigate weighted norm inequalities for Hardy-Littlewood type maximal operators.

Weighted norm inequalities for maximal functions and singular integrals

R. Coifman, C. Fefferman (1974)

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Integral inequalities with weights for the Hardy maximal function

R. Kerman, A. Torchinsky (1982)

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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.