Shamkant B. Navathe (ed.); Weili Wu (ed.); Shashi Shekhar (ed.); Xiaoyong Du (ed.); Sean X. Wang (ed.); Hui Xiong (ed.) Springer (2016) Pehmeäkantinen kirja
Poramate Manoonpong; Jørgen Christian Larsen; Xiaofeng Xiong; John Hallam; Jochen Triesch Springer International Publishing AG (2018) Pehmeäkantinen kirja
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 $dtimes d$-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.
