MULTI-PARAMETER SETTING (C; alpha) MEANS WITH RESPECT TO ONE DIMENSIONAL VILENKIN SYSTEM
Abstract
We prove that the maximal operator of the (C; n)-means of the one dimensional
Vilenkin-Fourier series is of weak type(L1;L1). Moreover, we prove the almost everywhere
convergence of the (C; n) means of integrable functions (i.e. n
n f ????! f); where
n 2 N; q and n ????! 1
Vilenkin-Fourier series is of weak type(L1;L1). Moreover, we prove the almost everywhere
convergence of the (C; n) means of integrable functions (i.e. n
n f ????! f); where
n 2 N; q and n ????! 1
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