Weighted inequalities for vector-valued maximal functions and singular integrals
Kenneth Andersen, Russel John (1981)
Studia Mathematica
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Kenneth Andersen, Russel John (1981)
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.
Benjamin Muckenhoupt (1974)
Studia Mathematica
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David Cruz-Uribe, Carlos Pérez (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We give type conditions which are sufficient for two-weight, strong inequalities for Calderón-Zygmund operators, commutators, and the Littlewood-Paley square function . Our results extend earlier work on weak inequalities in [13].
Michael Christ (1984)
Studia Mathematica
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R. Gundy, R. Wheeden (1974)
Studia Mathematica
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E. Sawyer (1985)
Studia Mathematica
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Y. Rakotondratsimba (1995)
Publicacions Matemàtiques
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By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class. Moreover we can deal with a general potential operator, and consequently we obtain a suitable approach to the two weight inequality for such an operator when one of the weight functions satisfies a reverse doubling condition.
Michelangelo Franciosi (1989)
Studia Mathematica
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