On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series
This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces. We find a necessary condition for belonging of a function to the periodic generalized Nikol’skij-Be...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2016-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/89 |
| _version_ | 1827395659656855552 |
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| author | Zh.Zh. Baituyakova |
| author_facet | Zh.Zh. Baituyakova |
| author_sort | Zh.Zh. Baituyakova |
| collection | DOAJ |
| description |
This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces. We find a necessary condition for belonging of a function to the periodic generalized Nikol’skij-Besov-Morrey spaces.
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| first_indexed | 2024-03-08T18:37:59Z |
| format | Article |
| id | doaj.art-5c2ab5752f6141d79a96aa6010448ee8 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:37:59Z |
| publishDate | 2016-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-5c2ab5752f6141d79a96aa6010448ee82023-12-29T10:22:00ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112016-09-01833On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier seriesZh.Zh. Baituyakova This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces. We find a necessary condition for belonging of a function to the periodic generalized Nikol’skij-Besov-Morrey spaces. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/89Morrey spacemaximal functionFourier transformNikol’skij-Besov-Morrey space |
| spellingShingle | Zh.Zh. Baituyakova On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series Қарағанды университетінің хабаршысы. Математика сериясы Morrey space maximal function Fourier transform Nikol’skij-Besov-Morrey space |
| title | On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series |
| title_full | On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series |
| title_fullStr | On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series |
| title_full_unstemmed | On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series |
| title_short | On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series |
| title_sort | on a necessary condition for belonging of a function to periodic generalized nikol sky besov morrey space in terms of strong summability of fourier series |
| topic | Morrey space maximal function Fourier transform Nikol’skij-Besov-Morrey space |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/89 |
| work_keys_str_mv | AT zhzhbaituyakova onanecessaryconditionforbelongingofafunctiontoperiodicgeneralizednikolskybesovmorreyspaceintermsofstrongsummabilityoffourierseries |