Sobolev, Besov, and Triebel-Lizorkin spaces on quantum tori
著者
書誌事項
Sobolev, Besov, and Triebel-Lizorkin spaces on quantum tori
（Memoirs of the American Mathematical Society, no. 1203）
American Mathematical Society, c2018
大学図書館所蔵 全8件
注記
Includes bibliographical references
March 2018, volume 252, number 1203 (fourth of 6 numbers)
内容説明・目次
内容説明
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.
目次
Introduction
Preliminaries
Sobolev spaces
Besov spaces
Triebel-Lizorkin spaces
Interpolation
Embedding
Fourier multiplier
Bibliography
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