On weighted norm inequalities for the maximal function
Angel Gatto, Cristian Gutiérrez (1983)
Studia Mathematica
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Displaying similar documents to “Higher integrability with weights.”
On weighted norm inequalities for the maximal function
Weighted rearrangements and higher integrability results
Michelangelo Franciosi (1989)
Studia Mathematica
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Weighted norm inequalities and Schur's Lemma
Michael Christ (1984)
Studia Mathematica
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Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel
Dazhao Chen (2014)
Colloquium Mathematicae
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We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
Tournament Configuration and Weighted Voting
B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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A note on a two-weighted Sobolev inequality
Petr Gurka, Alois Kufner (1989)
Banach Center Publications
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Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.
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.
A comparison of some weighted sieves
G. Greaves (1985)
Banach Center Publications
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Weighted derivative and differential equations.
Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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The equivalence of two conditions for weight functions
Benjamin Muckenhoupt (1974)
Studia Mathematica
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A quantitative approach to weighted Carleson condition
Israel P. Rivera-Ríos (2017)
Concrete Operators
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Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea [30, 31] for the operator [...] are obtained. As a consequence, some sufficient conditions for the boundedness of Min the two weight setting in the spirit of the results obtained by C. Pérez and E. Rela [26] and very recently by M. Lacey and S. Spencer [17] for the Hardy-Littlewood maximal operator are derived. As a byproduct some new quantitative estimates for the Poisson integral are obtained.
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.
A Wiener type criterion for weighted quasiminima
Silvana Marchi (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove a sufficient condition of continuity at the boundary for quasiminima of degenerate type. W. P. Ziemer stated a Wiener-type criterion for the quasiminima defined by Giaquinta and Giusti. In this paper we extend the result of Ziemer to the case of weighted quasiminima, the weight being in the class of Muckenhoupt.
Sharp one-weight and two-weight bounds for maximal operators
Kabe Moen (2009)
Studia Mathematica
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We investigate the boundedness of the fractional maximal operator with respect to a general basis on weighted Lebesgue spaces. We characterize the boundedness of these operators for one-weight and two-weight inequalities extending the work of Jawerth. A new two-weight testing condition for the fractional maximal operator on a general basis is introduced extending the work of Sawyer for the basis of cubes. We also find the sharp dependence in the two-weight case between the operator norm...