INVESTIGADORES
NOWAK Luis Maria Ricardo
artículos
Título:
Partial derivatives, singular integrals and Sobolev Spaces in dyadic settings
Autor/es:
AIMAR, HUGO; JUAN COMESATTI; IVANA GÓMEZ; NOWAK LUIS
Revista:
Analysis in Theory and Applications
Editorial:
Global Science Press
Referencias:
Año: 2023
ISSN:
1672-4070
Resumen:
In this note we show that the general theory of vector valued singular integral operators of Calder´on-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.
