An interpolation theorem between Calderón-Hardy spaces (original) (raw)

2017, Revista De La Union Matematica Argentina

Abstract

We obtain a complex interpolation theorem between weighted Calderon-Hardy spaces for weights in a Sawyer class. The technique used is based on the method obtained by J.-O. Stromberg and A. Torchinsky; however, we must overcome several technical difficulties associated with considering one-sided Calderon-Hardy spaces. Interpolation results of this type are useful in the study of weighted weak type inequalities of strongly singular integral operators.

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