Károly Nagy

On the two-dimensional Marcinkiewicz means with respect to Walsh-Kaczmarz system

In this paper we prove that the maximal operator of the Marcinkiewicz means of two-dimensional integrable functions with respect to the Walsh-Kaczmarz system is of weak type (1, 1). Moreover, the Marcinkiewicz means Mnf converge to f almost everywhere, for any integrable function f.

Cesaro summability of the character system of the p-series field in the Kaczmarz rearrangement

Let

On the logarithmic summability of Fourier series

G_p

On the (, α)-Means of Quadratic Partial Sums of Double Walsh–Kaczmarz–Fourier Series

be the

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

p

Walsh-Marcinkiewicz means and Hardy spaces

-series field. In this paper we prove the a.e. convergence

Maximal operators of Walsh–Kaczmarz logarithmic means

\sigma_n f\to f

A sharp boundedness result for restricted maximal operators of Vilenkin–Fourier series on martingale Hardy spaces

(n\to \infty)

The two-dimensional Fejér means on diagonal Hardy space

for an integrable function