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Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights

Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights

Let φ : D -» R be a subharmonic function and let AL 2 φ (Ώ)) denote the closed subspace of L 2 (D, e~2 φ dA) consisting of analytic functions in the unit disk D. For a certain class of subharmonic ψ) the necessary and sufficient conditions are obtained …