Almost everywhere convergence of $T$ means with respect to the Vilenkin system of integrable functions
UDC 517.5 We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of  $T$ means with respect to the Vilenkin system generated by monotone coefficients.  We also apply these results to prove that  these $T$ means are&...
Saved in:
| Date: | 2023 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7163 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.5
We prove and discuss some new weak-type (1,1) inequalities for the maximal operators of  $T$ means with respect to the Vilenkin system generated by monotone coefficients.  We also apply these results to prove that  these $T$ means are  almost everywhere convergent. As applications, we present both some well-known and new results. |
|---|---|
| DOI: | 10.37863/umzh.v75i7.7163 |