IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Sharp estimates for some iterated operators in Orlicz spaces
Autor/es:
ELEONOR HARBOURE; OSCAR SALINAS; BEATRIZ VIVIANI
Revista:
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Editorial:
Rocky Mountain Mathematics Consortium
Referencias:
Año: 2006 vol. 57 p. 1527 - 1542
ISSN:
0035-7596
Resumen:
In [K] and [HSV] sharp Orlicz estimates for the maximal and conjugate functions on the one dimensional torus were given. Starting from their results we describe the pairs of growth functions (phi,varphi´) such that modular L(phi) - L(varphi) estimates hold for both, the strong maximal function and the nth-iteration of the Hilbert Transform. We also show that our conditions are sharp. These results are achieved in a setting general enough as to include both operators.
