Pseudo-annular decomposition and approximate rate of Calderón–Zygmund operators on Heisenberg group

DOI10.1142/S0219691315500010zbMath1315.42011OpenAlexW2076765987MaRDI QIDQ5247081

Pengtao Li, Li Zhong Peng, Qi-Xiang Yang, He Ping Liu

Publication date: 22 April 2015

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691315500010

zbMATH Keywords

waveletsHeisenberg groupCalderón-Zygmund operatorspseudo-annular operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (1)

Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces

Cites Work

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• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• Continuous wavelets and frames on stratified Lie groups. I
• Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• Blocking analysis and \(T(1)\) theorem
• Admissible wavelets associated with the Heisenberg group
• Fast algorithms for Calderón-Zygmund singular integral operators
• Cascade algorithm and multiresolution analysis on the Heisenberg group
• Convergence of cascade sequence on the Heisenberg group
• CONTINUITY OF CALDERÓN–ZYGMUND OPERATORS ON BESOV OR TRIEBEL–LIZORKIN SPACES
• WAVELETS WITH VANISHING MOMENTS ON THE HEISENBERG GROUP

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