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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

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

Author(s): Jie Xiao
Journal: Proc. Amer. Math. Soc. 125 (1997), 3613-3616.
MSC (1991): Primary 26D15, 42A05, 42A16
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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.


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Additional Information:

Jie Xiao
Affiliation: Department of Mathematics, Peking University, Beijing 100871, People's Republic of China
Email: jxiao@sxx0.math.pku.edu.cn

DOI: 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
Copyright of article: Copyright 1997, American Mathematical Society


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