Treffer: Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs

Title:
Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs
Authors:
Zaitsev, Dmitri, Zampieri, Giuseppe
Source:
Transactions of the American Mathematical Society. 356:1443-1462
Publisher Information:
American Mathematical Society (AMS), 2003.
Publication Year:
2003
Subject Terms:
nonsmooth analytic discs, Applied Mathematics, General Mathematics, 0103 physical sciences, Extension of functions and other analytic objects from CR manifolds, Continuation of analytic objects in several complex variables, 0101 mathematics, CR functions, 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1088-6850
0002-9947
DOI:
10.1090/s0002-9947-03-03356-7
Access URL:
https://www.ams.org/tran/2004-356-04/S0002-9947-03-03356-7/S0002-9947-03-03356-7.pdf
https://www.ams.org/journals/tran/2004-356-04/S0002-9947-03-03356-7/home.html
https://www.maths.tcd.ie/~zaitsev/papers/zz-trans.pdf
https://www.openaccessrepository.it/record/161636
Accession Number:
edsair.doi.dedup.....d01a7313b5af3a43f12ff72c98170dd8
Database:
OpenAIRE

Weitere Informationen

The authors generalize to domains with Lipschitz boundary some extension results of \textit{A. Tumanov} [Contemp. Math. 205, 259--269 (1997; Zbl 0883.32011)]. Their main goal is to develop a theory of nonsmooth analytic discs, attached to domains with Lipschitz boundary in real submanifolds of \(\mathbb C^n\). By this method they obtain a propagation principle for wedge extendability of CR functions in these domains along CR curves and along boundaries of attached analytic discs.