Weighted inequalities for rough square functions through extrapolation
Volume 149 / 2002
Studia Mathematica 149 (2002), 239-252
MSC: 42B25, 42B20.
DOI: 10.4064/sm149-3-2
Abstract
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.
