Sul problema pluriarmonico in un campo sferico di 𝐂 n per n ≥ 3

Maria Adelaide Sneider

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 74, Issue: 6, page 351-356
  • ISSN: 1120-6330

Abstract

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Let Σ be the boundary of the unit ball Ω of 𝐂 n . A set of second order linear partial differential operators, tangential to Σ , is explicitly given in such a way that, for n ≥ 3 , the corresponding PDE caractherize the trace of the solution of the pluriharmonic problem (either “in the large” or “local”), relative to Ω .

How to cite

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Sneider, Maria Adelaide. "Sul problema pluriarmonico in un campo sferico di $\mathbf{C}^{n}$ per $n \ge 3$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 74.6 (1983): 351-356. <http://eudml.org/doc/287184>.

@article{Sneider1983,
author = {Sneider, Maria Adelaide},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {boundary values of pluriharmonic functions},
language = {ita},
month = {6},
number = {6},
pages = {351-356},
publisher = {Accademia Nazionale dei Lincei},
title = {Sul problema pluriarmonico in un campo sferico di $\mathbf\{C\}^\{n\}$ per $n \ge 3$},
url = {http://eudml.org/doc/287184},
volume = {74},
year = {1983},
}

TY - JOUR
AU - Sneider, Maria Adelaide
TI - Sul problema pluriarmonico in un campo sferico di $\mathbf{C}^{n}$ per $n \ge 3$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/6//
PB - Accademia Nazionale dei Lincei
VL - 74
IS - 6
SP - 351
EP - 356
LA - ita
KW - boundary values of pluriharmonic functions
UR - http://eudml.org/doc/287184
ER -

References

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  1. Audibert, T. (1977) - Caractérisation locale par des opérateurs differentielles des réstriction à la sphere de 𝐂 n des fonctions pluriharmoniques, «C. R. Acad. Sci.», Paris, A, 294, 1029-1031. Zbl0346.31004MR432917
  2. Bedford, E. (1974) - The Dirichlet Problem for Some Overdetermined Systems on the Unit Ball in 𝐂 n , «Pacific Journal of Math.», 51, 19-25. Zbl0289.35064MR346340
  3. Bedford, E. e Federbush, P. (1974) - Pluriharmonic Boundary Values, «Tokio Mathem. Journal», 26, 505-511. Zbl0298.31012MR361160
  4. Fichera, G. (1981) - Boundary values of analytic functions of several variables, in corso di stampa sui «Proceedings of the Inter. Conference on Complex Analysis», Varna, settembre. Zbl0592.32002
  5. Fichera, G. (1981) - Problemi di valori al contorno per le funzioni pluriarmoniche, «Actes du VIe Congrès du Groupement des Mathématiciens d’Expression Latine», Luxembourg, Gauthier-Villards; 139-151. MR664214
  6. Fichera, G. e Sneider, M.A. (1982) - Pluriharmonic functions in the unit ball of 𝐑 2 ⁢ n , «Rendiconti di Matematica», Roma, 4, 2, VII, 627-641. Zbl0531.31011MR699441
  7. Nacinovich, M. (1982) - Complex Analysis and Complexes of Differential Operators, in «Complex Analysis», Proc. Summer School on Complex Analysis (Trieste, 1980), Lecture Notes in Mathem., 950, Springer-Verlag, Berlin, Heidelberg, New-York; 105-195. MR672785
  8. Rudin, W. (1980) - Function theory in the unit ball of 𝐂 n , Springer Verlag, Berlin, Heidelberg, New York, 398-402. MR601594

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