An interpolation theorem between Calderón-Hardy spaces

Sheldy Ombrosi ^[1] ; Alejandra Perini ^[2] ; Ricardo Testoni ^[1]
1. [1] Universidad Nacional del Sur
  
  Universidad Nacional del Sur
  
  Argentina
2. [2] Universidad Nacional del Comahue
  
  Universidad Nacional del Comahue
  
  Argentina
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 1, 2017, págs. 1-19
Idioma: inglés
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Resumen
- 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.