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Start Over Descriptor "Besov spaces" Category mathematics / functional analysis
2 results on '"Besov spaces"'

2. Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori

Author

Xiao Xiong, Quanhua Xu, Zhi Yin, Xiao Xiong, Quanhua Xu, and Zhi Yin

Subjects
Function spaces, Besov spaces, Sobolev spaces, Torus (Geometry), Lipschitz spaces
Abstract

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 Poincaré type inequality for Sobolev spaces.

Published
2018

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