Toeplitz operators on Bloch-type spaces and classes of weighted Sobolev distributions

DOI10.1007/s00020-011-1890-3zbMath1239.47022OpenAlexW2119910164MaRDI QIDQ649047

Antti Perälä

Publication date: 30 November 2011

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1890-3

zbMATH Keywords

Bergman spacesToeplitz operatorsBloch-type spacesSobolev distributions

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Bloch spaces (30H30)

Related Items (2)

General Toeplitz operators on weighted Bloch-type spaces in the unit ball of \(\mathbb C ^n\) ⋮ Essential norms and Schatten(-Herz) classes of integration operators from Bergman spaces to Hardy spaces

Cites Work

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• Toeplitz operators with distributional symbols on Fock spaces
• New results and open problems on Toeplitz operators in Bergman spaces
• Multipliers of BMO in the Bergman metric with applications to Toeplitz operators
• Spectral theory of Toeplitz and Hankel operators on the Bergman space \(A^1\)
• Toeplitz operators on Bergman spaces with locally integrable symbols
• Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem
• Duality and Hankel operators on the Bergman spaces of bounded symmetric domains
• Bloch type spaces of analytic functions
• Toeplitz operators on Bloch-type spaces
• Compact operators via the Berezin transform
• Finite rank Toeplitz operators on the Bergman space

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