On the Fejer Kernel with respect to Generalized Orthonormal System of p-Series Field in the Kaczmarz Rearrangement

摘要

Let G_p be the p-series field. In this paper we give the expansion of Fejer kernel with respect to the generalized orthonormal system of p-series field in the Kaczmarz rearrangement. As a consequence, we prove the Fejer kernel functions are uniformly integrable.