Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori
Seiten
2018
American Mathematical Society (Verlag)
978-1-4704-2806-8 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-2806-8 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei
- Auch auf Rechnung
- Artikel merken
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.
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.
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.
Xiao Xiong, Wuhan University, China, and Universite de Franche-Comte, Besancon, France. Quanhua Xu, Wuhan University, China, and Universite de Franche-Comte, Besancon, France. Zhi Yin, Wuhan University, China.
Introduction
Preliminaries
Sobolev spaces
Besov spaces
Triebel-Lizorkin spaces
Interpolation
Embedding
Fourier multiplier
Bibliography
| Erscheinungsdatum | 07.01.2018 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 240 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4704-2806-7 / 1470428067 |
| ISBN-13 | 978-1-4704-2806-8 / 9781470428068 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Festigkeits- und Verformungslehre, Baudynamik, Wärmeübertragung, …
Buch | Hardcover (2025)
De Gruyter Oldenbourg (Verlag)
CHF 125,90