Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains
In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded domains. Under certain conditions on the parameters the outcome belongs to the scale of the so-called diamond spaces.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-11-01
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| Series: | Analysis and Geometry in Metric Spaces |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/agms-2020-0114 |
| _version_ | 1818688883011878912 |
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| author | Zhuo Ciqiang Hovemann Marc Sickel Winfried |
| author_facet | Zhuo Ciqiang Hovemann Marc Sickel Winfried |
| author_sort | Zhuo Ciqiang |
| collection | DOAJ |
| description | In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded domains. Under certain conditions on the parameters the outcome belongs to the scale of the so-called diamond spaces. |
| first_indexed | 2024-12-17T12:01:17Z |
| format | Article |
| id | doaj.art-ced2686bf1a84b9aabfa04f1a2f680d1 |
| institution | Directory Open Access Journal |
| issn | 2299-3274 |
| language | English |
| last_indexed | 2024-12-17T12:01:17Z |
| publishDate | 2020-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Analysis and Geometry in Metric Spaces |
| spelling | doaj.art-ced2686bf1a84b9aabfa04f1a2f680d12022-12-21T21:49:50ZengDe GruyterAnalysis and Geometry in Metric Spaces2299-32742020-11-018126830410.1515/agms-2020-0114agms-2020-0114Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on DomainsZhuo Ciqiang0Hovemann Marc1Sickel Winfried2Hunan Normal University, Changsha, ChinaFriedrich-Schiller-University, Jena, GermanyFriedrich-Schiller-University, Jena, GermanyIn this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded domains. Under certain conditions on the parameters the outcome belongs to the scale of the so-called diamond spaces.https://doi.org/10.1515/agms-2020-0114morrey spaceslizorkin-triebel-morrey spaces± method of interpolationcalderón’s first and second complex interpolation methoddiamond spacesextension operators46b7046e35 |
| spellingShingle | Zhuo Ciqiang Hovemann Marc Sickel Winfried Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains Analysis and Geometry in Metric Spaces morrey spaces lizorkin-triebel-morrey spaces ± method of interpolation calderón’s first and second complex interpolation method diamond spaces extension operators 46b70 46e35 |
| title | Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains |
| title_full | Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains |
| title_fullStr | Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains |
| title_full_unstemmed | Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains |
| title_short | Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains |
| title_sort | complex interpolation of lizorkin triebel morrey spaces on domains |
| topic | morrey spaces lizorkin-triebel-morrey spaces ± method of interpolation calderón’s first and second complex interpolation method diamond spaces extension operators 46b70 46e35 |
| url | https://doi.org/10.1515/agms-2020-0114 |
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