Weighted rearrangements and higher integrability results
Michelangelo Franciosi (1989)
Studia Mathematica
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Michelangelo Franciosi (1989)
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].
Sagun Chanillo, Jan-Olov Strömberg, Richard L. Wheeden (1987)
Revista Matemática Iberoamericana
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The purpose of this paper is to derive norm inequalities for potentials of the form Tf(x) = ∫(Rn) f(y)K(x,y)dy, x ∈ Rn, when K is a Kernel which satisfies estimates like those that hold for the Green function associated with the degenerate elliptic equations studied in [3] and [4].
Stephen Buckley (1994)
Studia Mathematica
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We classify weights which map reverse Hölder weight spaces to other reverse Hölder weight spaces under pointwise multiplication. We also give some fairly general examples of weights satisfying weak reverse Hölder conditions.
Christoph J. Neugebauer (1991)
Publicacions Matemàtiques
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We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫ f of monotone functions.
Benjamin Muckenhoupt, Richard Wheeden (1978)
Studia Mathematica
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Néstor Aguilera, Carlos Segovia (1977)
Studia Mathematica
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Alois Kufner (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Carlos Pérez Moreno (1991)
Publicacions Matemàtiques
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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.
Michael Christ (1984)
Studia Mathematica
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