WEAK TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF WALSH-KACZMARZ-MARCINKIEWICZ MEANS

• 作 者: Ushangi GOGINAVA Karoly NAGY
• 机 构: DepartmentofMechanicsandMathematics,InstituteofMathematicsandComputerSciences
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2016年2期
• 关键词: Walsh-Kaczmarz system Marcinkiewicz-Fejér means Maximal operator a.e.conver
• 基金项目: The research was supported by project TAMOP- 4.2.2.A-11/1/KONV-2012-0051 and Shota Rustaveli National Science Foundation grant no.13/06 （Geometry of function spaces, interpolation and embedding theore

The main aim of this article is to prove that the maximal operator σκ*of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to WalshKaczmarz system is bounded from the Hardy space H2/3to the space weak-L2/3.