多重共轭Fourier积分的临界阶Bochner——Riesz平均对可微函数的逼近

Approximation for differentiable functions by Bochner-Riesz means of multiple conjugate Fourier integrals at critical index

本文研究多重共轭Fourier积分的临界阶Bochner-Riesz平均对Sobolev空间L_1~1(1R^n)中的函数在全测度集上的逼近,得到的逼近阶为0(R^(-1)logR).

In this paper we consider the approximation for functions in Sobolev space L11(Rn) on set of full measure by Bochner-Riesz means of multiple conjugate Fourier integrals at critical index.The approximation order obtained here is o(R-1 logR).