Fourier-Laplace级数收敛速度的点态估计(英文)

POINTWISE ESTIMATE FOR THE RATE OF CONVERGENCE OF FOURIER LAPLACE SERIES

引入点态连续模 ,并用此连续模在L(Ωn)中估计等收敛算子以及函数的Fourier Laplace级数的Abel平均的点态收敛速度 .在Lp(Ωn) (1<p≤∞ ) 中类似的有关收敛速度的结论同时得到 .

Pointwise modulus of continuity is introduced, with which the rate of the pointwise convergence of equiconvergent operator and the Abel means of Fourier Laplace series of functions in L(Ω n) are estimated. The similar results of rate of convergence in L p(Ω n)(1≤p≤∞) are also obtained.