摘要
对f∈Lp(R+,Δ(t)dt),Δ(t)=(2sinht)2α+1(2cosht)2β+1,1p2,本文证明了当Rez>(2/p-1)(α+1/2)时,f的Fourier-Jacobi展开的z-阶Riesz平均几乎处处收敛于f.
In this paper, we prove that if f∈L p( R +, Δ (t)dt), Δ (t)=(2 sinh t) 2α+1 ·(2 cosh t) 2β+1 ,1p2, the Riesz means of order z of f with respect to Fourier-Jacobi expansion is convergent almost everywhere for Re z>(2/p-1)(α+1/2). This generalizes the earlier results of Giulini S. and Mauceri G. on noncompact symmetric space of real rank one.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1998年第4期693-702,共10页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金