Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.

Y. Rakotondratsimba

Publicacions Matemàtiques (1995)

  • Volume: 39, Issue: 1, page 23-41
  • ISSN: 0214-1493

Abstract

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By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class. Moreover we can deal with a general potential operator, and consequently we obtain a suitable approach to the two weight inequality for such an operator when one of the weight functions satisfies a reverse doubling condition.

How to cite

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Rakotondratsimba, Y.. "Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.." Publicacions Matemàtiques 39.1 (1995): 23-41. <http://eudml.org/doc/41223>.

@article{Rakotondratsimba1995,
abstract = {By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class. Moreover we can deal with a general potential operator, and consequently we obtain a suitable approach to the two weight inequality for such an operator when one of the weight functions satisfies a reverse doubling condition.},
author = {Rakotondratsimba, Y.},
journal = {Publicacions Matemàtiques},
keywords = {Algebra de operadores; Operadores maximales; Ecuación del potencial; Desigualdades; Funciones de peso; inequality; Muckenhoupt-Wheeden inequality; Muckenhoupt class; potential operator; weight functions; reverse doubling condition},
language = {eng},
number = {1},
pages = {23-41},
title = {Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.},
url = {http://eudml.org/doc/41223},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Rakotondratsimba, Y.
TI - Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 1
SP - 23
EP - 41
AB - By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class. Moreover we can deal with a general potential operator, and consequently we obtain a suitable approach to the two weight inequality for such an operator when one of the weight functions satisfies a reverse doubling condition.
LA - eng
KW - Algebra de operadores; Operadores maximales; Ecuación del potencial; Desigualdades; Funciones de peso; inequality; Muckenhoupt-Wheeden inequality; Muckenhoupt class; potential operator; weight functions; reverse doubling condition
UR - http://eudml.org/doc/41223
ER -

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