Abstract
It is proved that the maximal operators of subsequences of Nörlund logarithmic means and Cesáro means with varying parameters of Walsh-Fourier series is bounded from the dyadic Hardy spaces Hp to Lp. This implies an almost everywhere convergence for the subsequences of the summability means.
Original language | English |
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Pages (from-to) | 2189-2208 |
Number of pages | 20 |
Journal | Filomat |
Volume | 35 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Boundedness of maximal operators
- Cesàro means
- Hardy spaces
- Logarithmic means
- Walsh systems
ASJC Scopus subject areas
- Mathematics(all)