Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori
Author:   Xiao Xiong ,  Quanhua Xu ,  Zhi Yin
Publisher:   American Mathematical Society
ISBN:  

9781470428068


Pages:   116
Publication Date:   30 April 2018
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori


Overview

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.

Full Product Details

Author:   Xiao Xiong ,  Quanhua Xu ,  Zhi Yin
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.240kg
ISBN:  

9781470428068


ISBN 10:   1470428067
Pages:   116
Publication Date:   30 April 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction Preliminaries Sobolev spaces Besov spaces Triebel-Lizorkin spaces Interpolation Embedding Fourier multiplier Bibliography

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Author Information

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.

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