Result: THE BERGMAN PROJECTION AND WEIGHTED Ck ESTIMATES FOR THE CANONICAL SOLUTION TO THE ∂ PROBLEM ON NON-SMOOTH DOMAINS
Title:
THE BERGMAN PROJECTION AND WEIGHTED Ck ESTIMATES FOR THE CANONICAL SOLUTION TO THE ∂ PROBLEM ON NON-SMOOTH DOMAINS
Authors:
Source:
Transactions of the American Mathematical Society. 363(8):3959-3975
Publisher Information:
Providence, RI: American Mathematical Society, 2011.
Publication Year:
2011
Physical Description:
print, 9 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse de fourier, Fourier analysis, Généralités, histoire et biographie, General, history and biography, Mathématiques générales, General mathematics, Fonction holomorphe, Holomorphic function, Función holomorfa, Fonction orthogonale, Orthogonal function, Función ortogonal, Projection, Proyección, Puissance, Power, Potencia, Représentation fonction, Function representation, Representación función, Représentation intégrale, Integral representation, Representación integral, 32Axx, 32Txx, 42C05, Domaine non régulier, Domaine pseudoconvexe
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
INSTITUT FÜR MATHEMATIK, HUMBOLDT-UNIVERSITÄT, 10099 BERLIN, Germany
ISSN:
0002-9947
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24318992
Database:
PASCAL Archive
Further Information
We apply integral representations for functions on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains, to derive weighted Ck-estimates for the component of a given function, f, which is orthogonal to holomorphic functions in terms of Ck-norms of ∂f. The weights are powers of the gradient of the defining function of the domain.