The equation \bar{\partial}u=f the intersection of pseudoconvex domains

Alessandro Perotti

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1986)

  • Volume: 80, Issue: 7-12, page 495-500
  • ISSN: 1120-6330

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Perotti, Alessandro. "The equation $\bar{\partial}u = f$ the intersection of pseudoconvex domains." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 80.7-12 (1986): 495-500. <http://eudml.org/doc/287254>.

@article{Perotti1986,
author = {Perotti, Alessandro},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {intersection of pseudoconvex domains; explicit integral solution operator},
language = {eng},
month = {12},
number = {7-12},
pages = {495-500},
publisher = {Accademia Nazionale dei Lincei},
title = {The equation $\bar\{\partial\}u = f$ the intersection of pseudoconvex domains},
url = {http://eudml.org/doc/287254},
volume = {80},
year = {1986},
}

TY - JOUR
AU - Perotti, Alessandro
TI - The equation $\bar{\partial}u = f$ the intersection of pseudoconvex domains
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1986/12//
PB - Accademia Nazionale dei Lincei
VL - 80
IS - 7-12
SP - 495
EP - 500
LA - eng
KW - intersection of pseudoconvex domains; explicit integral solution operator
UR - http://eudml.org/doc/287254
ER -

References

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  1. AĬZENBERG, L.A. and DAUTOV, SH. A. (1983) - Differential forms orthogonal to holomorphic functions or forms, and their properties. «Providence-A.M.S.». Zbl0511.32002
  2. DUFRESNOY, A. (1979) - Sur l'opérateur d^{\prime\prime} et les fonctions differentiables au sens de Whitney. «Ann. Inst. Fourier», 29 (1), 229-238. Zbl0387.32011MR526786
  3. HENKIN, G.M. (1969) - Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications. «Mat. Sb.», 78 (120), 611-632; English trans, in «Math. USSR Sb.», 7. Zbl0208.35102MR249660
  4. HENKIN, G.M. and LEITERER, J. (1984) - Theory of functions on complex manifolds. Birkhauser. MR774049
  5. LANDUCCI, M. (1980) -Solutions with precise compact support of \bar{\partial}u=f. «Bull. des Sc. Math.», (2) 104, (3), 273-299. Zbl0444.32011MR592472
  6. LIEB, I. and RANGE, M. (1980) - Lösungperatoren für den Cauchy-Riemann-Komplex mit \mathbf{C}^{k}-Abschätzungen. «Math. Ann», 253 (2), 145-164. Zbl0441.32007MR597825DOI10.1007/BF01578911
  7. MICHEL, J. (1986) - Randregularität des \bar{\partial}-problem für die halbkugel in \mathbf{C}^{n}. «Manuscripta Math.», 55, 239-268. Zbl0592.32016MR836866DOI10.1007/BF01186647
  8. ØVRELID, N. (1971) - Integral representation formulas and L^{p}-estimates for the \bar{\partial}-equation. «Math. Scand.», 29, 137-160. Zbl0227.35069MR324073
  9. POLJAKOV, P.L., (1972) - Banach cohomology on piecewise strictly pseudoconvex domains. «Mat. Sb.», 88, 238-255; Englih trans. in «Math. USSR Sb.», 17 (2), 237-256. Zbl0286.32008MR301238
  10. RANGE, R.M. and SIU, Y.T. (1973) - Uniform estimates for the \bar{\partial}-equation on domains with piecewise smooth strictly pseudoconvex boundaries. «Math. Ann.», 206, 325-354. Zbl0248.32015MR338450
  11. SEELEY, R.T. (1964) - Extension of \mathbf{C}^{\infty}-functions defined in a half space. «Proc. Amer. Math. Soc.», 15, 625-626. Zbl0127.28403MR165392

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