# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Weighted inequalities for rough square functions through extrapolation

### Tom 149 / 2002

Studia Mathematica 149(2002), 239-252 MSC: 42B25, 42B20. DOI: 10.4064/sm149-3-2

#### Streszczenie

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.

#### Autorzy

Euskal Herriko Unibertsitatea
48080 Bilbao, Spain
e-mail
• Edurne SeijoDepartamento de Matemática Aplicada
E. T. S. de Arquitectura