Paperback (30 Apr 2018)
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This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative $d$-torus $\mathbb{T}^d_\theta$ (with $\theta$ a skew symmetric real $d\times d$-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.
| ISBN: | 9781470428068 |
| Publisher: | American Mathematical Society |
| Imprint: | American Mathematical Society |
| Pub date: | 30 Apr 2018 |
| DEWEY: | 515.73 |
| DEWEY edition: | 23 |
| Language: | English |
| Number of pages: | vi, 118 |
| Weight: | 240g |
| Height: | 254mm |
| Width: | 178mm |
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