Abstract
In this paper we prove a weak type (1, 1) inequality for the maximal operator sup n, m | σ n, m | (n + m) ε for any ε > 0. This allows us to reach some inequalities which hold almost everywhere. Moreover, we improve the result of Wade presented in (Proceedings of A. Haar memorial conference, 1987).
Original language | English |
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Pages (from-to) | 248-256 |
Number of pages | 9 |
Journal | Periodica Mathematica Hungarica |
Volume | 70 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1 2015 |
Externally published | Yes |
Keywords
- Fejér means
- Hardy space
- Pointwise convergence
- Two-dimensional system
- Walsh group
- Walsh system
ASJC Scopus subject areas
- General Mathematics