INTEGRABILITY PROPERTIES OF THE MAXIMAL OPERATOR ON PARTIAL-SUMS OF FOURIER-SERIES IN ORLICZ SPACES

Authors
KITA H
Citation
H. Kita, INTEGRABILITY PROPERTIES OF THE MAXIMAL OPERATOR ON PARTIAL-SUMS OF FOURIER-SERIES IN ORLICZ SPACES, Mathematische Nachrichten, 193, 1998, pp. 57-74
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
193
Year of publication
1998
Pages
57 - 74
Database
ISI
SICI code
0025-584X(1998)193:<57:IPOTMO>2.0.ZU;2-5
Abstract
Let S(f) be the majorant function of the partial sums of the trigonom etric Fourier series of f. In this paper we consider the Orlicz space L-phi and give a generalization of SORIA's result [S1]. Let psi(t) be a concave function with some nice properties and [GRAPHICS] If there e xists a positive constant a(0) < 1 such that [GRAPHICS] then we have [ GRAPHICS]