Weighted norm inequalities and Schur's Lemma
Michael Christ (1984)
Studia Mathematica
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Michael Christ (1984)
Studia Mathematica
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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.
Y. Rakotondratsimba (1994)
Publicacions Matemàtiques
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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.
R. Gundy, R. Wheeden (1974)
Studia Mathematica
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Benjamin Muckenhoupt (1974)
Studia Mathematica
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Steven Bloom (1990)
Studia Mathematica
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Michelangelo Franciosi (1989)
Studia Mathematica
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J. M. Wilson (2002)
Studia Mathematica
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We apply a decomposition lemma of Uchiyama and results of the author to obtain good weighted Littlewood-Paley estimates for linear sums of functions satisfying reasonable decay, smoothness, and cancellation conditions. The heart of our application is a combinatorial trick treating m-fold dilates of dyadic cubes. We use our estimates to obtain new weighted inequalities for Bergman-type spaces defined on upper half-spaces in one and two parameters, extending earlier work of R. L. Wheeden...
Richard Wheeden (1979)
Banach Center Publications
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Benjamin Muckenhoupt, Richard Wheeden (1978)
Studia Mathematica
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