An interpolation theorem between Calderón-Hardy spaces
- Sheldy Ombrosi 1
- Alejandra Perini 2
- Ricardo Testoni 1
- 1 Universidad Nacional del Sur, Argentina
- 2 Universidad Nacional del Comahue, Argentina
ISSN: 1669-9637, 0041-6932
Year of publication: 2017
Volume: 58
Issue: 1
Pages: 1-19
Type: Article
More publications in: Revista de la Unión Matemática Argentina
Abstract
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.