Traces of pluriharmonic functions

Paolo de Bartolomeis; Giuseppe Tomassini

Compositio Mathematica (1981)

  • Volume: 44, Issue: 1-3, page 29-39
  • ISSN: 0010-437X

How to cite


de Bartolomeis, Paolo, and Tomassini, Giuseppe. "Traces of pluriharmonic functions." Compositio Mathematica 44.1-3 (1981): 29-39. <>.

author = {de Bartolomeis, Paolo, Tomassini, Giuseppe},
journal = {Compositio Mathematica},
keywords = {traces of pluriharmonic functions; tangential linear differential operators; currents; Riemann-Hilbert problem; Cauchy-Dirichlet problem},
language = {eng},
number = {1-3},
pages = {29-39},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Traces of pluriharmonic functions},
url = {},
volume = {44},
year = {1981},

AU - de Bartolomeis, Paolo
AU - Tomassini, Giuseppe
TI - Traces of pluriharmonic functions
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 44
IS - 1-3
SP - 29
EP - 39
LA - eng
KW - traces of pluriharmonic functions; tangential linear differential operators; currents; Riemann-Hilbert problem; Cauchy-Dirichlet problem
UR -
ER -


  1. [1] T. Audibert: Caractérisation locale par des opérateurs differentiels des restrictions à la sphère de Cn des fonctions pluriharmoniques C.R.A.S. (1977) A2841029-1031. Zbl0346.31004MR432917
  2. [2] E. Bedford: (∂∂)b and the real part of CR functionsIndiana Univ. Math. J. (1980) 293333-340. Zbl0441.32008
  3. [3] E. Bedford, P. Federbush: Pluriharmonic boundary valuesTohoku Math. (1974) 26505-511. Zbl0298.31012MR361160
  4. [4] V. Belosapka: Functions pluriharmonic on manifolds Math. U.S.S.R. Isvestija (1978) 12439-447. Zbl0452.31002
  5. [5] P. de Bartolomeis, G. Tomassini: Traces of pluriharmonic functions Analytic Functions Kozubnik1979Lecture Notes in Math.798Springer (1980) 10-17. Zbl0431.32006MR577445
  6. [6] J.J. Kohn, U. Rossi: On the extension of holomorphic functions from the boundary of a complex manifoldAnn. of Math. (1965) 81451-473. Zbl0166.33802MR177135
  7. [7] G. Laville: Fonctions pluriharmoniques et solution fondamentale d'un opérateur du 4e ordreBull. Sc. Math.2s. (1977) 101305-317. Zbl0397.35021MR477147
  8. [8] S. Lojasiewicz, G. Tomassini: Valeurs au bord des formes holomorphes Several Complex Variables, Proceedings of International Conferences, Cortona Italy 1976- 1977222-245Scuola Normale Superiore, Pisa (1978). Zbl0445.58028MR681313
  9. [9] J. Polking, R.O. Wells: Boundary values of Dolbeault Cohomology classes and a generalized Bochner-Hartogs TheoremAbh. Math. Sem. Univ. Hamburg (1978) 473-24. Zbl0379.32019MR504111
  10. [10] G.B. Rizza: Dirichlet problem for n-harmonic functions and related geometrical propertiesMath. Ann. Bd. (1955) 130s.202-218. Zbl0067.33004MR74881

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