Abstract
The main aim of this paper is to prove that the maximal operator σ*χ of the Fejér means of the character system of the p-series field in the Kaczmarz rearrangement is bounded from the Hardy space H1/2 to the space weak-L1/2 and is not bounded from the Hardy space H1/2 (Gp) to the space L 1/2(GP).
Original language | English |
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Pages (from-to) | 43-55 |
Number of pages | 13 |
Journal | Publicationes Mathematicae Debrecen |
Volume | 71 |
Issue number | 1-2 |
Publication status | Published - 2007 |
Externally published | Yes |
Keywords
- Character system
- Weak type inequality
ASJC Scopus subject areas
- General Mathematics