APPROXIMATION OF BOCHNER-RIESZ MEANS 0F CONJUGATE FOURIER INTEGRALS BEL0W THE CRITICAL INDEX

摘要

In this paper we study the approximation on set of full measure for functions in Sobolev spacesL_m^1 (R^n) (m∈N) by Bochner-Riesz means of conjugale Fourier integrals below the critical index. Atheorem concerning the precise approximation orders with relation to the number m of space L_m^1 (R^n) andthe index of Bochner-Riesz means is obtained.