IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Differential Transforms in Weighted Spaces
Autor/es:
A.L. BERNARDIS; M. LORENTE; F.J. MARTÍN-REYES; M.T. MARTÍNEZ; A. DE LA TORRE; J.L. TORREA
Revista:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Editorial:
Birkhäuser
Referencias:
Lugar: Boston; Año: 2006 vol. 12 p. 83 - 103
ISSN:
1069-5869
Resumen:
We extend the results by Jones and Rosenblatt about theseries of the differences of differentiation operatorsalong lacunary sequences to BMO and to the setting ofweighted $L^p$- spaces. We use a different approach whichallows to establish that the one-sided Sawyer $A_p$ weightsare the natural ones to study the boundedness andconvergence of that series in weighted spaces.