INVESTIGADORES
AIMAR Hugo Alejandro A.
artículos
Título:
Partial derivatives, singular integrals and Sobolev Spaces in dyadic settings
Autor/es:
AIMAR, HUGO; COMESATTI, JUAN; GÓMEZ, IVANA; NOWAK, LUIS
Revista:
Analysis in Theory and Applications
Editorial:
Global Science Press
Referencias:
Lugar: Jiangsu, provincia China; Año: 2023
ISSN:
1672-4070
Resumen:
In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces, can be applied to obtain Sobolev type regularity properties for solutions of the dyadic fractional Laplacian. In doing so, we define partial derivatives in terms of Haar multipliers and dyadic homogeneous singular integral operators.
