Sobolev projection on quantum torus, its complete boundedness and applications
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Publication:6648754
DOI10.1016/J.JMAA.2024.128906MaRDI QIDQ6648754
Dmitriy Zanin, Fedor Sukochev, K. Tulenov
Publication date: 5 December 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Operator spaces and completely bounded maps (46L07) Special classes of linear operators (47Bxx) Linear function spaces and their duals (46Exx)
Cites Work
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- \(L_{p}\)-multipliers on quantum tori
- Harmonic analysis on quantum tori
- Singular traces. Theory and applications
- Pseudo-localization of singular integrals and noncommutative Calderón-Zygmund theory
- Sobolev theory for non commutative tori
- Generalized s-numbers of \(\tau\)-measurable operators
- Quantum differentiability on noncommutative Euclidean spaces
- Quantum differentiability on quantum tori
- Completeness of quasi-normed symmetric operator spaces
- Canonical Sobolev projections of weak type \((1,1)\)
- Modular curvature for noncommutative two-tori
- Classical Fourier Analysis
- Symmetric norms and spaces of operators
- Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
- Deformation quantization for actions of 𝑅^{𝑑}
- Weak type operator Lipschitz and commutator estimates for commuting tuples
- Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori
- On the Endpoints of De Leeuw Restriction Theorems
- Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture
- Noncommutative integration and operator theory
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