BECAS
COMESATTI Juan MartÍn
artículos
Título:
Partial derivatives, singular integrals and Sobolev Spaces in dyadic settings
Autor/es:
AIMAR, HUGO; COMESATTI, JUAN; GÓMEZ, IVANA; NOWAK, LUIS
Revista:
arXiv
Editorial:
Cornell University
Referencias:
Año: 2022
ISSN:
2331-8422
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.
