Algebraic properties of Toeplitz and small Hankel operators on the harmonic Bergman space

DOI10.1007/s10114-014-3276-3zbMath1314.47044OpenAlexW2143721708MaRDI QIDQ741214

Hong Yan Guan, Yu Feng Lu

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3276-3

zbMATH Keywords

Mellin transformToeplitz operatorharmonic Bergman spacesmall Hankel operatorquasihomogeneous symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (2)

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Cites Work

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• Commuting quasihomogeneous Toeplitz operators on the harmonic Bergman space
• Quasihomogeneous Toeplitz operators on the harmonic Bergman space
• Commuting Toeplitz operators with harmonic symbols
• Two questions on products of Toeplitz operators on the Bergman space
• Berezin versus Mellin.
• Commuting Toeplitz operators on the harmonic Bergman space
• Commutants of analytic Toeplitz operators on the harmonic Bergman space
• A refined Luecking's theorem and finite-rank products of Toeplitz operators
• On Toeplitz operators with quasihomogeneous symbols
• Products of Toeplitz operators on the harmonic Bergman space
• Finite rank Toeplitz operators on the Bergman space
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators

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