IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Muckenhoupt weights with singularities on closed lower dimensional sets in spaces of homogeneous type
Autor/es:
AIMAR HUGO; CARENA MARILINA; TOSCHI MARISA
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2014 vol. 416 p. 112 - 125
ISSN:
0022-247X
Resumen:
We give sufficient conditions on a real number β   and on a closed set F   in a general space of homogeneous type (X,d,μ)(X,d,μ) in such a way that μ(B(x,d(x,F)))βμ(B(x,d(x,F)))β becomes a Muckenhoupt weight. In order to prove our result, we modify the underlying space so that it becomes 1-Ahlfors regular.