|
Título:
|
Porosity, ?-porosity and measures
|
|
Autores:
|
Mera Rivas, María Eugenia ;
Morán Cabré, Manuel ;
Preiss, David ;
Zajicek, Ludik
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
American Physical Society, 2003
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Física
,
Materia = Ciencias: Matemáticas
,
Tipo = Artículo
|
|
Resumen:
|
We show that given a ?-finite Borel regular measure ? in a metric space X, every ?-porous subset of X of finite measure can be approximated by strongly porous sets. It follows that every ?-porous set is the union of a ?-strongly porous set and a ?-null set. This answers in the positive the question whether a measure which is absolutely continuous with respect to the ?-ideal of all ?-strongly porous sets is absolutely continuous with respect to the ?-ideal of all ?-porous sets. Using these results, we obtain a natural decomposition of measures according to their upper porosity and obtain detailed information on values that upper porosity may attain almost everywhere.
|
|
En línea:
|
https://eprints.ucm.es/58884/1/mera-moran%28nonlinearity%29.pdf
|
