Toeplitz and Hankel type operators on the upper half-plane

DOI10.1007/BF01200698zbMath0780.47021OpenAlexW1998584804MaRDI QIDQ1804029

Qingtang Jiang, Li Zhong Peng

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200698

zbMATH Keywords

boundednesscompactnessLaguerre polynomialsToeplitz and Hankel operatorscomplete decomposition of the space of square integrable functions on the upper half-planeorthogonal decomposition of admissible waveletsSchatten-von Neumann properties

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General harmonic expansions, frames (42C15)

Related Items (9)

Consistency and axiomatization of a natural extensional combinatory logic ⋮ Toeplitz type operators on wavelet subspaces ⋮ Admissible wavelets associated with the transform group on \(\mathbb{R}^ n\) ⋮ Wavelets from Laguerre polynomials and Toeplitz-type operators ⋮ Quaternion-valued admissible wavelets and orthogonal decomposition of \(L^2(IG(2),\mathbb H)\) ⋮ A note on wavelet subspaces ⋮ Phase space, wavelet transform and Toeplitz-Hankel type operators ⋮ Admissible wavelets on the Siegel domain of type one ⋮ BMO and Hankel operators on Bergman space of the Siegel upper half-space

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Hankel operator between weighted Bergman spaces
• Über einige bestimmte Integrale, in denen die Whittakerschen \(M_{k,m}\)- Funktionen auftreten
• Paracommutators of Schatten- von Neumann class $S_p$, $0 < p < 1$.
• Paracommutators-Boundedness and Schatten-Von Neumann Properties
• Hankel Operators on Weighted Bergman Spaces
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