Abstract.
Let \( AL^{2}_{\phi } {\left( \mathbb{D} \right)} \) denote the closed subspace of \( L^{2} {\left( {\mathbb{D},e^{{ - 2\phi }} d\lambda } \right)} \) consisting of analytic functions in the unit disc \( \mathbb{D} \). For certain class of subharmonic functions \( \phi :\mathbb{D} \to \mathbb{R} \) and \( f \in L_\phi ^2 \left( \mathbb{D} \right) \), it is shown that the essential norm of Hankel operator \( H_f = AL_\phi ^2 \left( \mathbb{D} \right) \to L_\phi ^2 \left( \mathbb{D} \right) \) is comparable to the distance norm from H f to compact Hankel operators.
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Asserda, S. The Essential Norm of Hankel Operators on the Weighted Bergman Spaces with Exponential Type Weights. Integr. equ. oper. theory 55, 1–18 (2006). https://doi.org/10.1007/s00020-006-1426-4
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DOI: https://doi.org/10.1007/s00020-006-1426-4