The weak type inequality for the Walsh system
Volume 185 / 2008
Studia Mathematica 185 (2008), 35-48
MSC: Primary 42C10.
DOI: 10.4064/sm185-1-2
Abstract
The main aim of this paper is to prove that the maximal operator $\sigma ^{\#}$ is bounded from the Hardy space $H_{1/2}$ to weak-$L_{1/2}$ and is not bounded from $H_{1/2}$ to $L_{1/2}$.
