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Trace ideal criteria
for Toeplitz and Hankel operators on the weighted Bergman
spaces with exponential type weights
Peng Lin and Richard Rochberg |
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Vol. 173 (1996), No. 1, 127–146
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Abstract |
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Let φ : 𝔻 → ℝ be a subharmonic function and let ALφ2(𝔻) denote the closed subspace of L2(𝔻,e−2φ dA) consisting of analytic functions in the unit disk 𝔻. For a certain class of subharmonic φ, the necessary and sufficient conditions are obtained for the Toeplitz operator Tμ on ALφ2(𝔻) and the Hankel operator Hb on ALφ2(𝔻) in order that they belong to the Schatten ideal Sp. |
Mathematical Subject Classification 2000
Primary: 47B35
Secondary: 47B10
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Milestones
Received: 12 August 1993
Revised: 6 April 1994
Published: 1 March 1996
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Authors |
| Peng Lin | |
| Richard Rochberg | |
| Department of Mathematics Washington University in St. Louis Campus Box 1146 One Brookings Dr Saint Louis MO 63130-4899 United States |
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