Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus
In the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p, q, τ were proved. These spaces are natural ana...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2025-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/962 |
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| author | Sh.A. Balgimbayeva A.K. Janabilova |
| author_facet | Sh.A. Balgimbayeva A.K. Janabilova |
| author_sort | Sh.A. Balgimbayeva |
| collection | DOAJ |
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In the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p, q, τ were proved. These spaces are natural analogues of the spaces Bpqsτ(Rn) and Fpqsτ(Rn) in the case of multidimensional torus Tn. The main results of the article are two theorems, each of which proves the Gagliardo–Nirenberg type inequality for the Lizorkin–Triebel type spaces or the Nikol’skii–Besov type spaces respectively.
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| format | Article |
| id | doaj-art-6232247ba5694e37ac49d1bbb5fa6733 |
| institution | OA Journals |
| issn | 2518-7929 2663-5011 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj-art-6232247ba5694e37ac49d1bbb5fa67332025-08-20T02:10:01ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112025-03-01117110.31489/2025m1/53-62Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torusSh.A. Balgimbayeva0https://orcid.org/0000-0001-5770-0161A.K. Janabilova1Institute of Mathematics and Mathematical Modeling, Almaty, KazakhstanInstitute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan In the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p, q, τ were proved. These spaces are natural analogues of the spaces Bpqsτ(Rn) and Fpqsτ(Rn) in the case of multidimensional torus Tn. The main results of the article are two theorems, each of which proves the Gagliardo–Nirenberg type inequality for the Lizorkin–Triebel type spaces or the Nikol’skii–Besov type spaces respectively. https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/962Nikol’skii–Besov/Lizorkin–Triebel smoothness spaces related to Morrey spacemultidimensional torusGagliardo–Nirenberg type inequalities |
| spellingShingle | Sh.A. Balgimbayeva A.K. Janabilova Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus Қарағанды университетінің хабаршысы. Математика сериясы Nikol’skii–Besov/Lizorkin–Triebel smoothness spaces related to Morrey space multidimensional torus Gagliardo–Nirenberg type inequalities |
| title | Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus |
| title_full | Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus |
| title_fullStr | Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus |
| title_full_unstemmed | Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus |
| title_short | Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus |
| title_sort | gagliardo nirenberg type inequalities for smoothness spaces related to morrey spaces over n dimensional torus |
| topic | Nikol’skii–Besov/Lizorkin–Triebel smoothness spaces related to Morrey space multidimensional torus Gagliardo–Nirenberg type inequalities |
| url | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/962 |
| work_keys_str_mv | AT shabalgimbayeva gagliardonirenbergtypeinequalitiesforsmoothnessspacesrelatedtomorreyspacesoverndimensionaltorus AT akjanabilova gagliardonirenbergtypeinequalitiesforsmoothnessspacesrelatedtomorreyspacesoverndimensionaltorus |