An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces
Let E be a separable symmetric space on 0,∞ and EM the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than EM and obtain the following interpolation result: let E^M be the space of all bounded EM-quasimartingales and 1<p&l...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6678150 |
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| author | Congbian MA Guoxi Zhao |
| author_facet | Congbian MA Guoxi Zhao |
| author_sort | Congbian MA |
| collection | DOAJ |
| description | Let E be a separable symmetric space on 0,∞ and EM the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than EM and obtain the following interpolation result: let E^M be the space of all bounded EM-quasimartingales and 1<p<pE<qE<q<∞. Then, there exists a symmetric space F on 0,∞ with nontrivial Boyd indices such that E^M=L^pM,L^qMF,K. |
| format | Article |
| id | doaj-art-d1983dc44cae44e4b0a0f374196d7618 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
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| series | Advances in Mathematical Physics |
| spelling | doaj-art-d1983dc44cae44e4b0a0f374196d76182025-02-03T01:07:07ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66781506678150An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric SpacesCongbian MA0Guoxi Zhao1School of Mathematics and Information Science, Xinxiang University, Henan, ChinaSchool of Mathematics and Information Science, Xinxiang University, Henan, ChinaLet E be a separable symmetric space on 0,∞ and EM the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than EM and obtain the following interpolation result: let E^M be the space of all bounded EM-quasimartingales and 1<p<pE<qE<q<∞. Then, there exists a symmetric space F on 0,∞ with nontrivial Boyd indices such that E^M=L^pM,L^qMF,K.http://dx.doi.org/10.1155/2021/6678150 |
| spellingShingle | Congbian MA Guoxi Zhao An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces Advances in Mathematical Physics |
| title | An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces |
| title_full | An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces |
| title_fullStr | An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces |
| title_full_unstemmed | An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces |
| title_short | An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces |
| title_sort | interpolation theorem for quasimartingales in noncommutative symmetric spaces |
| url | http://dx.doi.org/10.1155/2021/6678150 |
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