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About Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori (Memoirs of the American Mathematical Society, 1203)
This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative $d$-torus $mathbbTdtheta$ (with $theta$ a skew symmetric real $dtimes d$-matrix). These spaces share many properties with their classical counterparts. The authors prove, among other basic properties, the lifting theorem for all these spaces and a Poincare type inequality for Sobolev spaces.
Detailed Information
| Author: | Xiao Xiong |
|---|---|
| Publication Year: | 2018 |
| ISBN: | 9781470428068 |
| Pages: | 130 |
| Language: | English |
| File Size: | 1.2 |
| Format: | |
| Price: | FREE |
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