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ArticleOriginal scientific text

Title

Weighted inequalities for square and maximal functions in the plane

Authors 1, 1

Affiliations

  1. Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain

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.

Bibliography

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Studia Mathematica
1992/102/1
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Pages:
39-47
Main language of publication
English
Received
1991-03-28
Published
1992
Exact and natural sciences