Artículo

From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement

Agora, ElonaIcon ; Antezana, Jorge AbelIcon ; Baena Miret, Sergi; Carro, María J.
Fecha de publicación: 01/2022
Editorial: Springer
Revista: The Journal Of Geometric Analysis
ISSN: 1050-6926
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We shall prove pointwise estimates for the decreasing rearrangement of Tf, where T covers a wide range of interesting operators in Harmonic Analysis such as operators satisfying a Fefferman-Stein inequality, the Bochner-Riesz operator, rough operators, sparse operators, Fourier multipliers, etc. In particular, our main estimate is of the form (Tf)∗(t)≤C(1/t ∫ t0 f∗(s)ds+∫∞t(1+log s/t)−1 φ(1+log s/t) f∗(s)ds/s), where φ is determined by the Muckenhoupt Ap-weight norm behaviour of the operator.
Palabras clave: BOCHNER-RIESZ OPERATOR , CALDERON TYPE OPERATORS , DECREASING REARRANGEMENT , FEFFERMAN STEIN INEQUALITY , FOURIER MULTIPLIERS , ROUGH OPERATORS , SPARSE OPERATORS , WEIGHTED LORENTZ SPACES
 
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info:eu-repo/semantics/openAccess 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/11336/251592
DOI: http://dx.doi.org/10.1007/s12220-021-00799-7
URL: https://link.springer.com/article/10.1007/s12220-021-00799-7
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Agora, Elona; Antezana, Jorge Abel; Baena Miret, Sergi; Carro, María J.; From weak-type weighted inequality to pointwise estimate for the decreasing rearrangement; Springer; The Journal Of Geometric Analysis; 32; 56; 1-2022; 1-23
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