BMO spaces associated with semigroups of operators
By Marius Junge, Tao Mei. 2011
71 citations recorded by the source corpus.
We study BMO spaces associated with semigroup of operators on noncommutative function spaces (i.e. von Neumann algebras) and apply the results to boundedness of Fourier multipliers on non-abelian discrete groups. We prove an interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < ∞, with optimal constants in p.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ba01946f8797d369f5eadac804a054c3cb3b277d
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In Applied Mathematics
- Javier Parcet
- Marius Junge
- Quanhua Xu
- Tao Mei
- A. Gonz'alez-P'erez
- Xiaolei Xiong
- Zhi Yin
- Narcisse Randrianantoanina
In Mathematical Physics
- Javier Parcet
- Marius Junge
- Tao Mei
- Quanhua Xu
- A. Gonz'alez-P'erez
- Narcisse Randrianantoanina
- Xiaolei Xiong
- Zhi Yin
Citations in the corpus
- Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori (2015, methodology): “[35] M. Junge and T. Mei and J. Parcet.”
- Smooth Fourier multipliers on group von Neumann algebras (2010, methodology): “Indeed, as it follows from [26], imaginary powers of length functions are bounded with free-dimensional constants.”
- Singular integrals in quantum Euclidean spaces (2017, methodology): “This kind of BMO spaces over Markov semigroups have been deeply investigated in [41] for finite von Neumann algebras.”