INVESTIGADORES
SALINAS Oscar Mario
artículos
Título:
Local fractional and singular integrals on open subsets
Autor/es:
ELEONOR HARBOURE; OSCAR SALINAS; BEATRIZ VIVIANI
Revista:
JOURNAL D4ANALYSE MATHEMATIQUE
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2019
ISSN:
0021-7670
Resumen:
For a proper open set $Omega$ immersed in a metric space with the weak homogeneity property, and given a measure $mu$ doubling on a certain family of balls lying ``well inside´´ of $Omega$, we introduce local operators of singular and fractional type and study their boundedness properties on weighted $L^p(Omega)$, $1leq p < infty$, for weights in local Muckenhoupt classes.