On the maximal operators of Walsh-Kaczmarz-Nörlund means

Abstract

The main aim of this paper is to investigate $\left(H_p,L_{p,\infty }\right)$ type inequalities for maximal operators of Nörlund means with monotone coefficients of one-dimensional Walsh-Kaczmarz system. By applying this results we conclude a.e convergence of such Walsh-Kaczmarz-Nörlund means.

(to appear), Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis (AMAPN), (2014). arXiv admin note: substantial text overlap with arXiv:1410.6721

References in corpus (2)

• Fejér means of Vilenkin-Fourier series
• The maximal operators of logarithmic means of one-dimensional Vilenkin-Fourier series