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math.CA2026
Almost everywhere convergence of subsequences of Walsh-Nörlund means
István Blahota
Let be a non-increasing and convex sequence of non-negative numbers such that . Our main result is to prove almost everywhere convergence \[ t_…
math.CA2026
The exact -norm supremum of Walsh--Kaczmarz--Fejér kernels
István Blahota
We study the -norms of Fejér kernels for the Walsh--Kaczmarz system. In the Walsh--Paley case the identity \[ \|K^w_{2^n}\|_1=1 \qquad (n\in\mathbb N) \] follows directly f…
math.CA2026
Almost everywhere divergence of Cesaro means of subsequences of Walsh--Paley Fourier partial sums
Istvan Blahota, Gyorgy Gat
We prove an almost everywhere divergence theorem for Cesàro means of subsequences of partial sums of Walsh--Fourier series. More precisely, we show that there exists a strictly inc…