Abstract
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Let
be a bounded strictly
pseudoconvex domain in
.
Assuming
where
is a nonnegative integer
and
, we show that (1)
the Bergman kernel
, for
any
and (2) the Bergman
projection on
is a
bounded operator from
to
for
any
.
Our results both improve and generalize the work of E. Ligocka.
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Keywords
Bergman kernel, Bergman projection, strictly pseudoconvex
domain
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Mathematical Subject Classification
Primary: 32A25
Secondary: 32T15
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Milestones
Received: 7 August 2022
Revised: 8 February 2023
Accepted: 14 April 2023
Published: 22 June 2023
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