Abstract
In the present paper we investigate the boundedness of the maximal operator of some d-dimensional means, provided that the set of the indeces is inside a cone-like set L. Applying some assumptions on the summation kernels Pn1,...,nd we state that the cone-like restricted maximal operator TCLRγ is bounded from the Hardy space Hpγ to the Lebesgue space Lp for p > p0 .
| Original language | English |
|---|---|
| Pages (from-to) | 219-234 |
| Number of pages | 16 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Almost everywhere convergence
- Cesàro means
- Group of 2-adic integers
- Hardy space
- Maximal operator
- Multidimensional system
- Restricted summability
- Walsh-Kaczmarz system
- Walsh-Paley system
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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