Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cesàro Transforms of Fourier Coefficients
of $L^{\infty }$-functions


Author: Jie Xiao
Journal: Proc. Amer. Math. Soc. 125 (1997), 3613-3616
MSC (1991): Primary 26D15, 42A05, 42A16
MathSciNet review: 1415377
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note, we show that Cesàro transforms of Fourier cosine or sine coefficients of any $L^{\infty }(0,\pi )$-function are Fourier cosine or sine coefficients of some $BMO(0,\pi )$-function.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 26D15, 42A05, 42A16

Retrieve articles in all journals with MSC (1991): 26D15, 42A05, 42A16


Additional Information

Jie Xiao
Email: jxiao@sxx0.math.pku.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04040-9
PII: S 0002-9939(97)04040-9
Keywords: Ces\`{a}ro transforms, Fourier coefficients
Received by editor(s): December 11, 1995
Received by editor(s) in revised form: July 9, 1996
Additional Notes: The author is partially supported by the National Science Foundation of China
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1997 American Mathematical Society