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Poincaré lemma and global homotopy formulas with sharp anisotropic Hölder estimates in q-concave CR manifolds
- Source :
- Mathematische Zeitschrift, Mathematische Zeitschrift, Springer, 2010, 265, pp.761-775
- Publication Year :
- 2010
- Publisher :
- HAL CCSD, 2010.
-
Abstract
- We prove sharp anisotropic H\"older estimates for the local solutions of the tangential Cauchy-Riemann equation in q-concave CR manifolds and we derive the same kind of estimates for global solutions when the manifold is compact.
- Subjects :
- Anisotropic Hölder estimates
Mathematics - Complex Variables
General Mathematics
Homotopy
010102 general mathematics
Mathematical analysis
Tangential Cauchy Riemann equation
AMS 32V20
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
01 natural sciences
Manifold
Closed and exact differential forms
0103 physical sciences
32V20
Homotopy formulas
010307 mathematical physics
Mathematics::Differential Geometry
0101 mathematics
Anisotropy
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00255874 and 14321823
- Database :
- OpenAIRE
- Journal :
- Mathematische Zeitschrift, Mathematische Zeitschrift, Springer, 2010, 265, pp.761-775
- Accession number :
- edsair.doi.dedup.....b08e68c89b667ccd35fb900f68001dd1