Weighted inequalities for some square functions are studied. L² results are proved first using the particular structure of the operator and then extrapolation of weights is applied to extend the results to other 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-3-2, author = {Javier Duoandikoetxea and Edurne Seijo}, title = {Weighted inequalities for rough square functions through extrapolation}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {239-252}, zbl = {1015.42016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-3-2} }
Javier Duoandikoetxea; Edurne Seijo. Weighted inequalities for rough square functions through extrapolation. Studia Mathematica, Tome 151 (2002) pp. 239-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-3-2/