Abstract
The n-dimensional generalized Hartogs triangles are domains defined by with and . In this paper, we first obtain an estimate for the Bergman kernel of and then use it to establish the boundedness of the associated Bergman projections. Our result generalizes the boundedness result for two-dimensional generalized Hartogs triangles obtained by L.D. Edholm and J.D. McNeal in [Bergman subspaces and subkernels: degenerate Lp mapping and zeroes. J Geom Anal. 2017;27:2658–2683] to n-dimensional settings.
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