On boundary values of holomorphic functions on balls

Author:
Josip Globevnik

Journal:
Proc. Amer. Math. Soc. **85** (1982), 61-64

MSC:
Primary 32A40

DOI:
https://doi.org/10.1090/S0002-9939-1982-0647898-9

MathSciNet review:
647898

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Abstract: It is a result of Agranovski and Valski for which Nagel and Rudin, and Stout have given alternate proofs, that if is the open unit ball in and if has the property that for every complex line , has a continuous extension to which is holomorphic in , then has a continuous extension to which is holomorphic in . In the paper we give an easier, more geometric proof of this result and then prove the local version of this result.

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DOI:
https://doi.org/10.1090/S0002-9939-1982-0647898-9

Article copyright:
© Copyright 1982
American Mathematical Society