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.
@article{bwmeta1.element.bwnjournal-article-smv102i1p39bwm, author = {Javier Duoandikoetxea and Adela Moyua}, title = {Weighted inequalities for square and maximal functions in the plane}, journal = {Studia Mathematica}, volume = {103}, year = {1992}, pages = {39-47}, zbl = {0808.42012}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p39bwm} }
Duoandikoetxea, Javier; Moyua, Adela. Weighted inequalities for square and maximal functions in the plane. Studia Mathematica, Tome 103 (1992) pp. 39-47. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p39bwm/
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