INVESTIGADORES
SALINAS Oscar Mario
artículos
Título:
Local maximal function and weights on a general setting
Autor/es:
ELEONOR HARBOURE; OSCAR SALINAS; BEATRIZ VIVIANI
Revista:
MATHEMATISCHE ANNALEN
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2014 vol. 358 p. 609 - 628
ISSN:
0025-5831
Resumen:
For a
proper open set Ω immersed in a metric space with the weak
homogeneity property, and given a measure μ doubling on a certain family of balls lying
?well inside? of Ω , we introduce a local maximal function and
characterize the weights w for which it is bounded on Lp(Ω,wdμ) when 1<p<∞ and of weak type (1,1) . We generalize previous known
results and we also present an application to interior Sobolev?s type estimates
for appropriate solutions of the differential equation Δmu=f, satisfied in
an open proper subset Ω of Rn. Here, the data
fbelongs to some
weighted Lpspace that could
allow functions to increase polynomially when approaching the boundary of Ω .