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Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs
Author(s):
Dmitri
Zaitsev;
Giuseppe
Zampieri
Journal:
Trans. Amer. Math. Soc.
356
(2004),
1443-1462.
MSC (2000):
Primary 32V10, 32V25, 32D15
Posted:
September 22, 2003
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Additional information
Abstract:
The goal of this paper is to develop a theory of nonsmooth analytic discs attached to domains with Lipschitz boundary in real submanifolds of  . We then apply this technique to establish a propagation principle for wedge extendibility of CR-functions on these domains along CR-curves and along boundaries of attached analytic discs. The technique from this paper has been also extensively used by the authors recently to obtain sharp results on wedge extension of CR-functions on wedges in prescribed directions extending results of BOGGESS-POLKING and EASTWOOD-GRAHAM.
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Additional Information:
Dmitri
Zaitsev
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Ireland
Email:
zaitsev@maths.tcd.ie
Giuseppe
Zampieri
Affiliation:
Dipartimento di Matematica, Università di Padova, via Belzoni 7, 35131 Padova, Italy
Email:
zampieri@math.unipd.it
DOI:
10.1090/S0002-9947-03-03356-7
PII:
S 0002-9947(03)03356-7
Received by editor(s):
July 25, 2002
Posted:
September 22, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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