We show that a CR function of class , 0 ≤ k < ∞, on a tube submanifold of holomorphically extends to the convex hull of the submanifold. The extension and all its derivatives through order k are shown to have nontangential pointwise boundary values on the original tube submanifold. The -norm of the extension is shown to be no bigger than the -norm of the original CR function.
@article{bwmeta1.element.bwnjournal-article-apmv70z1p35bwm,
author = {Al Boggess},
title = {The holomorphic extension of $C^k$ CR functions on tube submanifolds},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {35-42},
zbl = {0935.32031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p35bwm}
}
Al Boggess. The holomorphic extension of $C^k$ CR functions on tube submanifolds. Annales Polonici Mathematici, Tome 69 (1998) pp. 35-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p35bwm/
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