An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces | Zendy

Congbian Ma | Zendy; Zhao Guo-xi | Zendy

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An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces

Author(s) -

Congbian Ma,

Zhao Guo-xi

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/6678150

Subject(s) - noncommutative geometry , interpolation (computer graphics) , mathematics , pure mathematics , mathematical analysis , computer science , artificial intelligence , image (mathematics)

Let E be a separable symmetric space on 0 , ∞ and E M the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than E M and obtain the following interpolation result: let E ^ M be the space of all bounded E M -quasimartingales and 1 < p < p E < q E < q < ∞ . Then, there exists a symmetric space F on 0 , ∞ with nontrivial Boyd indices such that E ^ M = L ^ p M , L ^ q M F , K .

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