Hankel operators on domains with bounded intrinsic geometry

DOI10.1007/S12220-023-01231-YarXiv2105.15011MaRDI QIDQ6369010

Andrew M. Zimmer

Publication date: 31 May 2021

Abstract: In this paper we consider Hankel operators on domains with bounded intrinsic geometry. For these domains we characterize the $L^2$-symbols where the associated Hankel operator is compact (respectively bounded) on the space of square integrable holomorphic functions.

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Kähler manifolds (32Q15) Global Riemannian geometry, including pinching (53C20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Bergman spaces of functions in several complex variables (32A36)

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