Release time:2016-04-22
Affiliation of Author(s):Central South University
Teaching and Research Group:department of information science
Journal:Mathematical theory and applications
Place of Publication:Changsha
Key Words:Cesaro operator, Fourier series, weighted atom space
Abstract:For an interval I in [0,2pi] with halves L and R,a weighted special atom looks like b(t)=1/p(t)[Vl-VR(t)], where Q is a non-negative function satisfying some properties. We consider the weighted special atom space B(Q) formed by l^1 linear combination of these weighted atoms.We showed if f∈B(Q) then the Cesaro means of its Fourier series converges almost everywhere.
Co-author:Deng Songhai
Indexed by:Unit Twenty Basic Research
Discipline:数学
Document Type:J
Volume:21
Issue:1
Page Number:61-63
ISSN No.:1006-8074
Translation or Not:no
Date of Publication:2001-03-05
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Attachments:
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Fourier cesaro operator.caj
MOBILE Version