The approximation of functions from LlogL(loglogL)(SN) by Fourier–Laplace series
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摘要
In this paper, a study of the approximation of functions from LlogL(loglogL)(SN) by Fourier–Laplace series is performed. It is proved that the maximal operator of the Riesz means of the Fourier–Laplace series is bounded, from L1 to LlogL(loglogL)(SN). The result provides a natural and intrinsic characterization of the approximation of the functions by Fourier–Laplace series.
论文关键词：35J25,35P10,42B08,42B25,42B35,Approximation,Fourier–Laplace series,Riesz means,Spectral function,Eigenfunction of the Laplace–Beltrami operator
论文评审过程：Received 26 October 2010, Revised 16 June 2011, Available online 7 September 2011.
论文官网地址：https://doi.org/10.1016/j.cam.2011.08.018
