Grand Triebel-Lizorkin-Morrey spaces
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the Lusin area function characterizations, and the gλ∗...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-02-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2024-0085 |
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| _version_ | 1850197917676077056 |
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| author | Ho Kwok-Pun |
| author_facet | Ho Kwok-Pun |
| author_sort | Ho Kwok-Pun |
| collection | DOAJ |
| description | This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the Lusin area function characterizations, and the gλ∗{g}_{\lambda }^{\ast } function characterizations. The boundedness of the Fourier multipliers on the grand Triebel-Lizorkin-Morrey spaces is also obtained. |
| format | Article |
| id | doaj-art-c469da5201b64dcaab0e1cda256f5e00 |
| institution | OA Journals |
| issn | 2391-4661 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-c469da5201b64dcaab0e1cda256f5e002025-08-20T02:13:01ZengDe GruyterDemonstratio Mathematica2391-46612025-02-0158112616610.1515/dema-2024-0085Grand Triebel-Lizorkin-Morrey spacesHo Kwok-Pun0Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, Hong Kong, ChinaThis article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the Lusin area function characterizations, and the gλ∗{g}_{\lambda }^{\ast } function characterizations. The boundedness of the Fourier multipliers on the grand Triebel-Lizorkin-Morrey spaces is also obtained.https://doi.org/10.1515/dema-2024-0085grand lebesgue spacesmorrey spacestriebel-lizorkin spacesfourier multiplier42b2042b3042b3546e30 |
| spellingShingle | Ho Kwok-Pun Grand Triebel-Lizorkin-Morrey spaces Demonstratio Mathematica grand lebesgue spaces morrey spaces triebel-lizorkin spaces fourier multiplier 42b20 42b30 42b35 46e30 |
| title | Grand Triebel-Lizorkin-Morrey spaces |
| title_full | Grand Triebel-Lizorkin-Morrey spaces |
| title_fullStr | Grand Triebel-Lizorkin-Morrey spaces |
| title_full_unstemmed | Grand Triebel-Lizorkin-Morrey spaces |
| title_short | Grand Triebel-Lizorkin-Morrey spaces |
| title_sort | grand triebel lizorkin morrey spaces |
| topic | grand lebesgue spaces morrey spaces triebel-lizorkin spaces fourier multiplier 42b20 42b30 42b35 46e30 |
| url | https://doi.org/10.1515/dema-2024-0085 |
| work_keys_str_mv | AT hokwokpun grandtriebellizorkinmorreyspaces |