Essential norm estimates for Hankel operators on convex domains in C2
DOI:
https://doi.org/10.7146/math.scand.a-25793Abstract
Let Ω⊂C2 be a bounded convex domain with C1-smooth boundary and φ∈C1(¯Ω) such that φ is harmonic on the non-trivial disks in the boundary. We estimate the essential norm of the Hankel operator Hφ in terms of the ¯∂ derivatives of φ “along” the non-trivial disks in the boundary.
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