Abstract.
We prove that if D is a pseudoconvex domain with Lipschitz boundary having an exhaustion function \(\rho\) such that \(-(-\rho)^{\eta}\) is plurisubharmonic, then the Bergman projection maps the Sobolev space \(W_s\) boundedly to itself for any \(s<\eta/2\).
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Received March 10, 1999 / Published online May 8, 2000
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Berndtsson, B., Charpentier, P. A Sobolev mapping property of the Bergman kernel. Math Z 235, 1–10 (2000). https://doi.org/10.1007/s002090000099
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DOI: https://doi.org/10.1007/s002090000099