An interpolation theorem between Calderón-Hardy spaces

  1. Sheldy Ombrosi 1
  2. Alejandra Perini 2
  3. Ricardo Testoni 1
  1. 1 Universidad Nacional del Sur, Argentina
  2. 2 Universidad Nacional del Comahue, Argentina
Revista:
Revista de la Unión Matemática Argentina

ISSN: 1669-9637,  0041-6932

Any de publicació: 2017

Volum: 58

Número: 1

Pàgines: 1-19

Tipus: Article

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Altres publicacions en: Revista de la Unión Matemática Argentina

Resum

We obtain a complex interpolation theorem between weighted Calderón-Hardy spaces for weights in a Sawyer class. The technique used is based on the method obtained by J.-O. Strömberg and A. Torchinsky; however, we must overcome several technical difficulties associated with considering one-sided Calderón-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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