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The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces

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Abstract

The characterization of thosef for which the Hankel operatorsH f belongs to various trace ideals over Bergman spaces on pseudoconvex domains of finite type in complex dimension two is given. In particular, we determine how the cutoff values are affected by the boundary geometry.

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All three authors supported by grants from the National Science Foundation

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Krantz, S.G., Li, SY. & Rochberg, R. The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces. Integr equ oper theory 28, 196–213 (1997). https://doi.org/10.1007/BF01191818

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  • DOI: https://doi.org/10.1007/BF01191818

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