New results and open problems on Toeplitz operators in Bergman spaces

zbMath1237.47035MaRDI QIDQ554276

Antti Perälä, Jari Taskinen, Jani A. Virtanen

Publication date: 2 August 2011

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/NYJM/j/2011/17a-9.html

zbMATH Keywords

distributionsweighted Sobolev spacesBergman spacesbounded operatorsToeplitz operatorsFredholm propertiescompact operatorsHankel operatorsmatrix-valued symbolsradial symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Bergman spaces and Fock spaces (30H20)

Related Items (4)

Boundedness of Toeplitz Operators in Bergman-Type Spaces ⋮ Toeplitz operators defined by sesquilinear forms: Bergman space case ⋮ Toeplitz operators on Bloch-type spaces and classes of weighted Sobolev distributions ⋮ Coorbit Theory and Bergman Spaces

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