Hankel Operators on Weighted Bergman Spaces
Copyright policy )Hankel Operators on Weighted Bergman Spaces
The authors study Hankel operators on weighted Bergman spaces and establishes the connection between an analytic function f and the Hankel operator generated by f on certain weighted Bergman spaces consisting of analytic functions on the unit disk \(\Delta\). Contents. Introduction. 1. Background. 2. General properties of Hankel operators. 3. Hilbert-Schmidt-Hankel operators and Dirichlet space. 4. Boundedness and compactness of \(H_ f\). 5. The space \(B_ 1\), the Macaev ideal, and Hankel operators. 6. Hankel operators in \(S_ p\) and \(B_ p\), \(2
Hankel operators on weighted Bergman spaces, Boundedness, non analytic symbols, vector-valued paracommutators, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Macaev ideal, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Hilbert-Schmidt-Hankel operators, compactness, reduced Hankel operator, Dirichlet space
Hankel operators on weighted Bergman spaces, Boundedness, non analytic symbols, vector-valued paracommutators, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Macaev ideal, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Hilbert-Schmidt-Hankel operators, compactness, reduced Hankel operator, Dirichlet space
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