Abstract
The main aim of this paper is to prove that for the boundedness of the maximal operator σ*α,β from the Hardy space Hp (I2) to the space Lp (I2) the assumption p > max {1/ (α + 1), 1/ (β + 1)} is essential.
Original language | English |
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Pages (from-to) | 209-214 |
Number of pages | 6 |
Journal | Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis |
Volume | 24 |
Issue number | 2 |
Publication status | Published - 2008 |
Externally published | Yes |
Keywords
- Hardy space
- Maximal operator
- Walsh function
ASJC Scopus subject areas
- General Mathematics
- Education