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Weighted inequalities for rough square functions through extrapolation

Javier DuoandikoetxeaEdurne Seijo — 2002

Studia Mathematica

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 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.

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