Schatten classes and commutators of Riesz transform on Heisenberg group and applications. (English) Zbl 07657578
The aim of this work is to investigate Schatten class estimates for commutators of Riesz transforms on Heisenberg groups. The findings presented in this paper pave the way for the study of Schatten classes for commutators with certain Calderón-Zygmund operators in other important settings beyond \(\mathbb{R}^{n}.\)
Reviewer: Elhadj Dahia (Bou Saâda)
MSC:
| 47B10 | Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) |
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 43A85 | Harmonic analysis on homogeneous spaces |
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