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math.CV2002★ 2 cited
Schrödinger operators with magnetic fields and the canonical solution operator to d-bar
Friedrich Haslinger
In this paper we characterize compactness of the canonical solution operator to d-bar on weighted L^2 spaces on C. For this purpose we consider certain Schrödinger operators with m…
math.CV2001
The canonical solution operator to d-bar restricted to Bergman spaces and spaces of entire functions
Friedrich Haslinger
In this paper we obtain a necessary and sufficient condition for the canonical solution operator to restricted to radial symmetric Bergman spaces to be a Hilb…
math.CV2001
The canonical solution operator to d-bar restricted to Bergman spaces
Friedrich Haslinger
We first show that the canonical solution operator to d-bar restricted to (0,1)-forms with holomorphic coefficients can be expressed by an integral operator using the Bergman kerne…