Asymptotic first boundary value problem for holomorphic functions of several complex variables

Paul M. Gauthier; Mohammad Shirazi

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arXiv · 2103.10032

Asymptotic first boundary value problem for holomorphic functions of several complex variables

Paul M. Gauthier·Mohammad Shirazi

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Abstract

In 1955, Lehto showed that, for every measurable function $\psi$ on the unit circle $\mathbb T,$ there is function $f$ holomorphic in the unit disc $\mathbb D,$ having $\psi$ as radial limit a.e. on $\mathbb T.$ We consider an analogous boundary value problem, where the unit disc is replaced by a Stein domain on a complex manifold and radial approach to a boundary point $p$ is replaced by (asymptotically) total approach to $p.$

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BibTeX RIS

Paul M. Gauthier, Mohammad Shirazi. 2021-03-18. Asymptotic first boundary value problem for holomorphic functions of several complex variables. https://arxiv.org/abs/2103.10032

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