Artículo

Weighted Lebesgue and $BMO^\gamma $; norm inequalities for the Calderón and Hilbert operators

Ferreyra, Elida Vilma; Flores, Guillermo JavierIcon ; Viviani, Beatriz EleonoraIcon
Fecha de publicación: 04/2019
Editorial: Springer
Revista: Mathematische Zeitschrift
ISSN: 0025-5874
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Necessary and sufficient conditions are given for generalized Calderón and Hilbert operators to be bounded from weighted Lebesgue spaces into suitable weighted BMO and Lipschitz spaces. Moreover, we have obtained new results on the boundedness of these operators from L∞ into BMO, even in the unweighted case for the Hilbert operator. The class of weights involved are close to the doubling and reverseHölder conditions related to the Muckenhoupt?s classes.Keywords Calderón operator · BMO spaces · Weighted inequalities · Integral operators
Palabras clave: CALDERON OPERATOR , BMO SPACES , WEIGHTED INEQUALITIES , INTEGRAL OPERATORS
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/108639
URL: http://link.springer.com/10.1007/s00209-019-02298-6
DOI: https://dx.doi.org/10.1007/s00209-019-02298-6
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Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Ferreyra, Elida Vilma; Flores, Guillermo Javier; Viviani, Beatriz Eleonora; Weighted Lebesgue and $BMO^\gamma $; norm inequalities for the Calderón and Hilbert operators; Springer; Mathematische Zeitschrift; 294; 4-2019; 503–518
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