Weighted inequalities for square and maximal functions in the plane
Volume 102 / 1992
Studia Mathematica 102 (1992), 39-47
DOI: 10.4064/sm-102-1-39-47
Abstract
We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.
