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 -torus (with a skew symmetric real -matrix). These spaces share many properties with their classical counterparts. We prove, among other basic properties, the lifting theorem for all these spa...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Xiong, Xiao, 1989- (Author), Xu, Quanhua (Author), Yin, Zhi, 1984- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1203.
Subjects:
Sobolev spaces.
Besov spaces.
Function spaces.
Lipschitz spaces.
Torus (Geometry)
Espaces de Sobolev.
Espaces de Besov.
Espaces fonctionnels.
Espaces de Lipschitz.
Tore (Géométrie)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Variedades algebraicas
Besov spaces
Function spaces
Lipschitz spaces
Sobolev spaces
Online Access:Texto completo
Table of Contents:
  • Preliminaries
  • Sobolev spaces
  • Besov spaces
  • Triebel-Lizorkin spaces
  • Interpolation
  • Embedding
  • Fourier multiplier.

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