IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Powers of distances to lower dimensional sets as Muckenhoupt weights
Autor/es:
AIMAR HUGO; CARENA MARILINA; DURÁN RICARDO; TOSCHI MARISA
Revista:
ACTA MATHEMATICA HUNGARICA
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2014 vol. 143 p. 119 - 137
ISSN:
0236-5294
Resumen:
Let (X,d,mu) be an Ahlfors metric measure space. We give sufficient conditions on a closed set Fsubseteq X and on a real number eta in such a way that d(x,F)^beta becomes a Muckenhoupt weight. We give also some illustrations to regularity of solutions of partial differential equations and regarding some classical fractals.