Juha Kinnunen (1998)
Publicacions Matemàtiques
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We prove that Muckenhoupt's A-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A-weights.
Shuichi Sato (1989)
Studia Mathematica
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Kinnunen, Juha (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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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, Richard Wheeden (1978)
Studia Mathematica
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R. Coifman, C. Fefferman (1974)
Studia Mathematica
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Michael Christ (1984)
Studia Mathematica
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Kenneth Andersen, Russel John (1981)
Studia Mathematica
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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].
Benjamin Muckenhoupt (1974)
Studia Mathematica
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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.