On the resolvents of dyadic paraproducts

Autores: M. C. Pereyra
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 10, Nº 3, 1994, págs. 627-664
Idioma: inglés
DOI: 10.4171/rmi/163
Títulos paralelos:
- Resolventes de paraproductos diádicos.
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Resumen
- We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at ? = 1 of the dyadic paraproduct, [Ch].