Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers
Volume 191 / 2009
Studia Mathematica 191 (2009), 215-222
MSC: 42C10, 42A24.
DOI: 10.4064/sm191-3-3
Abstract
We prove the almost everywhere convergence of the Marcinkiewicz means of integrable functions $\sigma _{n}f \to f$ for every $f\in L^{1}(I^2)$, where $I$ is the group of $2$-adic integers.
