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Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori

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Sobolev, Besov and Triebel-Lizorkin...

Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori

Xiao Xiong, Quanhua Xu, Zhi Yin

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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.

Година:

2018

Издание:

1

Издателство:

American Mathematical Society

Език:

english

Страници:

130

ISBN 10:

1470443759

ISBN 13:

9781470443757

Серия:

Memoirs of the American Mathematical Society Ser.

Файл:

PDF, 1.13 MB

IPFS:

,

english, 2018

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