INVESTIGADORES
AIMAR Hugo Alejandro A.
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:
Año: 2012 vol. 395 p. 626 - 636
ISSN:
0022-247X
Resumen:
Let Mn 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 Mn in terms of the composition of M0 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.
