1Departamento de Matemáticas Universidad del País Vasco Euskal Herriko Unibertsitatea Apartado 644 48080 Bilbao, Spain 2Departamento de Matemática Aplicada E. T. S. de Arquitectura Universidad del País Vasco Euskal Herriko Unibertsitatea Apartado 799 20080 Donostia, Spain
Studia Mathematica, Tome 149 (2002) no. 3, pp. 239-252
Weighted inequalities for some square functions are studied. $L^2$ results are proved first using the particular structure of the operator and then extrapolation of weights is applied to extend the results to other $L^p$ spaces. In particular, previous results for square functions with rough kernel are obtained in a simpler way and extended to a larger class of weights.
Keywords:
weighted inequalities square functions studied results proved first using particular structure operator extrapolation weights applied extend results other spaces particular previous results square functions rough kernel obtained simpler extended larger class weights
Affiliations des auteurs :
Javier Duoandikoetxea
1
;
Edurne Seijo
2
1
Departamento de Matemáticas Universidad del País Vasco Euskal Herriko Unibertsitatea Apartado 644 48080 Bilbao, Spain
2
Departamento de Matemática Aplicada E. T. S. de Arquitectura Universidad del País Vasco Euskal Herriko Unibertsitatea Apartado 799 20080 Donostia, Spain
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author = {Javier Duoandikoetxea and Edurne Seijo},
title = {Weighted inequalities for rough square functions
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through extrapolation
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Javier Duoandikoetxea; Edurne Seijo. Weighted inequalities for rough square functions
through extrapolation. Studia Mathematica, Tome 149 (2002) no. 3, pp. 239-252. doi: 10.4064/sm149-3-2
