On the local solution of the tangential Cauchy-Riemann equations

Sidney M. Webster

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: 6, Issue: 3, page 167-182
  • ISSN: 0294-1449

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Webster, Sidney M.. "On the local solution of the tangential Cauchy-Riemann equations." Annales de l'I.H.P. Analyse non linéaire 6.3 (1989): 167-182. <http://eudml.org/doc/78173>.

@article{Webster1989,
author = {Webster, Sidney M.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {tangential Cauchy-Riemann complex; strictly pseudoconvex real hypersurface},
language = {eng},
number = {3},
pages = {167-182},
publisher = {Gauthier-Villars},
title = {On the local solution of the tangential Cauchy-Riemann equations},
url = {http://eudml.org/doc/78173},
volume = {6},
year = {1989},
}

TY - JOUR
AU - Webster, Sidney M.
TI - On the local solution of the tangential Cauchy-Riemann equations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - 6
IS - 3
SP - 167
EP - 182
LA - eng
KW - tangential Cauchy-Riemann complex; strictly pseudoconvex real hypersurface
UR - http://eudml.org/doc/78173
ER -

References

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  1. [1] A. Andreotti, C.D. Hill and E.E. Levi, Convexity and the Hans Lewy Problem I, II, Ann. Scuola Norm. sup. Pisa, Vol. 26, 1971, pp. 325-363 and 747-806. Zbl0256.32007
  2. [2] A. Boggess, Kernels for the Tangential Cauchy-Riemann Equations, Trans. A. M. S., Vol. 262, 1980, pp. 1-49. Zbl0489.32014MR583846
  3. [3] R. Harvey and J. Polking, Fundamental Solutions in Complex Analysis I, II, Duke Math. Jour., Vol. 46, 1979, pp. 253-340. Zbl0441.35043MR534054
  4. [4] G.M. Henkin, The Lewy Equation and Analysis on Pseudoconvex Manifolds, Russ. Math. Surv., Vol. 32, No. 3, 1977, pp. 59-130 (from Uspekhi Mat. Nauk, VoL 32, No. 3, 1977, pp. 57-118). Zbl0382.35038MR454067
  5. [5] J.J. Kohn and H. Rossi, On the Extension of Holomorphic Functions from the Boundary of a Complex Manifold, Ann. of Math., Vol. 81, 1965, pp. 451-472. Zbl0166.33802MR177135
  6. [6] H. Lewy, On the Local Character of the Solution of an Atypical Linear Differential Equation in Three Variables and a Related Theorem for Regular Functions of Two Complex Variables, Ann. of Math., Vol. 64, 1956, pp. 514-522. Zbl0074.06204MR81952
  7. [7] I. Lieb and R. Range, Lösungsoperatoren für den Cauchy-Riemann-Komplex mit Ck-Abschätzungen, Math. Ann., Vol. 253, 1980, pp. 145-164. Zbl0441.32007MR597825
  8. [8] A.V. Romanov, A Formula and Estimates for Solutions of the Tangential Cauchy-Riemann Equation, Mat. Sb., Vol. 99, 1976, pp. 58-83. Zbl0338.35066MR409872
  9. [9] H. Skoda, Valeurs au bord pour les solutions de l'opérateur d'' dans les ouverts strictement pseudoconvex, C. R. Acad. Sci. Paris, T. 280, series A, 1975, pp. 633-636. Zbl0302.32021MR372250
  10. [10] S.M. Webster, A New Proof of the Newlander-Nirenberg Theorem, Math. Zeit. (to appear). Zbl0651.32004MR999729
  11. [11] S.M. Webster, On the Proof of Kuranishi's Embedding Theorem, Ann. Inst. H. Poincaré (ANL), Vol. 6, No. 3, 1989, pp. 183-207. Zbl0679.32020MR995504

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