Abstract
The present paper the almost everywhere convergence of two-dimensional Walsh-Nörlund means is studied, when the given function belongs to the hybrid Hardy space H♮. Because the Nörlund means are a generalization of several known classical summability methods, previously known classical theorems are derived from the main theorem. In addition some new results follow in particular cases as well.
Original language | English |
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Pages (from-to) | 290-302 |
Number of pages | 13 |
Journal | Carpathian Mathematical Publications |
Volume | 16 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jun 30 2024 |
Keywords
- almost everywhere convergence
- Hardy space
- Nörlund mean
- Walsh system
- weak type inequality
ASJC Scopus subject areas
- General Mathematics