The equation ∂ ¯ ⁢ 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

How to cite

top

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

top
  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 ′′ 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 ∂ ¯ ⁢ 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 𝐂 k -Abschätzungen. «Math. Ann», 253 (2), 145-164. Zbl0441.32007MR597825DOI10.1007/BF01578911
  7. MICHEL, J. (1986) - Randregularität des ∂ ¯ -problem für die halbkugel in 𝐂 n . «Manuscripta Math.», 55, 239-268. Zbl0592.32016MR836866DOI10.1007/BF01186647
  8. ØVRELID, N. (1971) - Integral representation formulas and L p -estimates for the ∂ ¯ -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 ∂ ¯ -equation on domains with piecewise smooth strictly pseudoconvex boundaries. «Math. Ann.», 206, 325-354. Zbl0248.32015MR338450
  11. SEELEY, R.T. (1964) - Extension of 𝐂 ∞ -functions defined in a half space. «Proc. Amer. Math. Soc.», 15, 625-626. Zbl0127.28403MR165392

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.