IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Pointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings
Autor/es:
AIMAR HUGO, CARENA MARILINA
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 395 p. 626 - 636
ISSN:
0022-247X
Resumen:
Let $M_n$ denote the Hardy-Littlewood maximal operator on the $n$-th iteration of a given iterated function system (IFS). We give sufficient conditions on the IFS in order to obtain a pointwise estimate for $M_n$ in terms of the composition of $M_0$ and a discrete Hardy-Littlewood type maximal operator. As a corollary we prove the uniform preservation of Muckenhoupt condition along the Hutchinson orbits induced by such an IFS.
