In this paper, the almost everywhere convergence of Cesàro means of Walsh–Kaczmarz–Fourier series in a varying parameter setting is investigated. In particular, we define subsequence ℕα_n,q of natural numbers and prove that the maximal operator
sup_{n∈ℕα_n,q}|σnα_nf|
is of strong type (H1,L1), where H1 is a Hardy space.
English