A quantitative approach to weighted Carleson condition

Israel P. Rivera-Ríos

Concrete Operators (2017)

  • Volume: 4, Issue: 1, page 58-75
  • ISSN: 2299-3282

Abstract

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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.

How to cite

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Israel P. Rivera-Ríos. "A quantitative approach to weighted Carleson condition." Concrete Operators 4.1 (2017): 58-75. <http://eudml.org/doc/288563>.

@article{IsraelP2017,
abstract = {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.},
author = {Israel P. Rivera-Ríos},
journal = {Concrete Operators},
keywords = {Weighted Carleson condition; Maximal operator; Weights; Poisson integral; Bumps; Entropy},
language = {eng},
number = {1},
pages = {58-75},
title = {A quantitative approach to weighted Carleson condition},
url = {http://eudml.org/doc/288563},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Israel P. Rivera-Ríos
TI - A quantitative approach to weighted Carleson condition
JO - Concrete Operators
PY - 2017
VL - 4
IS - 1
SP - 58
EP - 75
AB - 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.
LA - eng
KW - Weighted Carleson condition; Maximal operator; Weights; Poisson integral; Bumps; Entropy
UR - http://eudml.org/doc/288563
ER -

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