Weighted Versions of Saitoh’s Conjecture in Fibration Cases

Abstract

In this article, we introduce some generalized Hardy spaces on fibrations of planar domains and fibrations of products of planar domains. We consider the kernel functions on these spaces, and we prove some weighted versions of Saitoh’s conjecture in fibration cases.

Keywords

Bergman kernel / Hardy space / Saitoh’s conjecture / fibration / 32A10 / 32A25 / 32A35 / 30H10

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