Sobolev, Besov, and Triebel-Lizorkin spaces on quantum tori
Author(s)
Bibliographic Information
Sobolev, Besov, and Triebel-Lizorkin spaces on quantum tori
（Memoirs of the American Mathematical Society, no. 1203）
American Mathematical Society, c2018
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Note
Includes bibliographical references
March 2018, volume 252, number 1203 (fourth of 6 numbers)
Description and Table of Contents
Description
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.
Table of Contents
Introduction
Preliminaries
Sobolev spaces
Besov spaces
Triebel-Lizorkin spaces
Interpolation
Embedding
Fourier multiplier
Bibliography
by "Nielsen BookData"