New real variable methods in H summability of Fourier series

Calixto P. Calderón, A. Susana Coré, Wilfredo Urbina

In this paper we shall be concerned with $H_{\alpha }$ summability, for $0<\alpha \le 2$ of the Fourier series of arbitrary $L^1([-\pi ,\pi ])$ functions. The methods to be employed here are a ref…