| Title:
|
On the maximal operator of Walsh-Kaczmarz-Fejér means (English) |
| Author:
|
Goginava, Ushangi |
| Author:
|
Nagy, Károly |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
3 |
| Year:
|
2011 |
| Pages:
|
673-686 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we prove that the maximal operator $$\tilde {\sigma }^{\kappa ,*}f:=\sup _{n\in {\mathbb P}}\frac {|{\sigma }_n^\kappa f|}{\log ^{2}(n+1)},$$ where ${\sigma }_n^\kappa f$ is the $n$-th Fejér mean of the Walsh-Kaczmarz-Fourier series, is bounded from the Hardy space $H_{1/2}( G) $ to the space $L_{1/2}( G).$ (English) |
| Keyword:
|
Walsh-Kaczmarz system |
| Keyword:
|
Fejér means |
| Keyword:
|
maximal operator |
| MSC:
|
42B25 |
| MSC:
|
42C10 |
| idZBL:
|
Zbl 1249.42011 |
| idMR:
|
MR2853082 |
| DOI:
|
10.1007/s10587-011-0038-6 |
| . |
| Date available:
|
2011-09-22T14:36:09Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141629 |
| . |
| Reference:
|
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| Reference:
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