Boundary continuity of holomorphic functions in the ball
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- by Frank Beatrous PDF
- Proc. Amer. Math. Soc. 97 (1986), 23-29 Request permission
Abstract:
It is shown that any holomorphic function on the unit ball of ${{\mathbf {C}}^n}$ with $n$th partial derivatives in the Hardy class ${H^1}$ has a continuous extension to the closed unit ball, and that the restriction to any real analytic curve in the boundary which is nowhere complex tangential is absolutely continuous.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 23-29
- MSC: Primary 32A40; Secondary 30D40, 32A30
- DOI: https://doi.org/10.1090/S0002-9939-1986-0831380-3
- MathSciNet review: 831380