Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori

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 propertie...

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Detalles Bibliográficos
Autores principales: Xiong, Xiao, Xu, Quanhua, Yin, Zhi
Lenguaje:eng
Publicado: American Mathematical Society 2018
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/2623211
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author Xiong, Xiao
Xu, Quanhua
Yin, Zhi
author_facet Xiong, Xiao
Xu, Quanhua
Yin, Zhi
author_sort Xiong, Xiao
collection CERN
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 Poincar� type inequality for Sobolev spaces.
id cern-2623211
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
publisher American Mathematical Society
record_format invenio
spelling cern-26232112021-04-21T18:47:20Zhttp://cds.cern.ch/record/2623211engXiong, XiaoXu, QuanhuaYin, ZhiSobolev, Besov and Triebel-Lizorkin spaces on quantum toriMathematical Physics and MathematicsThis 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 Poincar� type inequality for Sobolev spaces.American Mathematical Societyoai:cds.cern.ch:26232112018
spellingShingle Mathematical Physics and Mathematics
Xiong, Xiao
Xu, Quanhua
Yin, Zhi
Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
title Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
title_full Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
title_fullStr Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
title_full_unstemmed Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
title_short Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
title_sort sobolev, besov and triebel-lizorkin spaces on quantum tori
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2623211
work_keys_str_mv AT xiongxiao sobolevbesovandtriebellizorkinspacesonquantumtori
AT xuquanhua sobolevbesovandtriebellizorkinspacesonquantumtori
AT yinzhi sobolevbesovandtriebellizorkinspacesonquantumtori

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