Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
Abstract We prove and discuss some new H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. We also apply these results to prove strong summa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1182-1 |
| _version_ | 1819010527544737792 |
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| author | Lasha Baramidze Lars-Erik Persson George Tephnadze Peter Wall |
| author_facet | Lasha Baramidze Lars-Erik Persson George Tephnadze Peter Wall |
| author_sort | Lasha Baramidze |
| collection | DOAJ |
| description | Abstract We prove and discuss some new H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. We also apply these results to prove strong summability for such Vilenkin-Nörlund means. As applications, both some well-known and new results are pointed out. |
| first_indexed | 2024-12-21T01:13:41Z |
| format | Article |
| id | doaj.art-ae261215849b4fae916f9dc978668d85 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-21T01:13:41Z |
| publishDate | 2016-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-ae261215849b4fae916f9dc978668d852022-12-21T19:20:52ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-10-012016112010.1186/s13660-016-1182-1Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applicationsLasha Baramidze0Lars-Erik Persson1George Tephnadze2Peter Wall3Department of Mathematics, Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State UniversityDepartment of Engineering Sciences and Mathematics, Luleå University of TechnologyDepartment of Mathematics, Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State UniversityDepartment of Engineering Sciences and Mathematics, Luleå University of TechnologyAbstract We prove and discuss some new H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. We also apply these results to prove strong summability for such Vilenkin-Nörlund means. As applications, both some well-known and new results are pointed out.http://link.springer.com/article/10.1186/s13660-016-1182-1inequalitiesVilenkin systemVilenkin groupNörlund meansmartingale Hardy spaceL p $L_{p}$ spaces |
| spellingShingle | Lasha Baramidze Lars-Erik Persson George Tephnadze Peter Wall Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications Journal of Inequalities and Applications inequalities Vilenkin system Vilenkin group Nörlund means martingale Hardy space L p $L_{p}$ spaces |
| title | Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications |
| title_full | Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications |
| title_fullStr | Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications |
| title_full_unstemmed | Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications |
| title_short | Sharp H p $H_{p}$ - L p $L_{p}$ type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications |
| title_sort | sharp h p h p l p l p type inequalities of weighted maximal operators of vilenkin norlund means and its applications |
| topic | inequalities Vilenkin system Vilenkin group Nörlund means martingale Hardy space L p $L_{p}$ spaces |
| url | http://link.springer.com/article/10.1186/s13660-016-1182-1 |
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