De Bartolomeis, Paolo:
Stime in norme tipo Hardy dell'operatore $\bar{\delta}$ e teoremi di scrittura per le funzioni di $\mathcal{H}^{p}$ in domini strettamente pseudo-convessi di $\mathbf{C}^{n}$
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 61 (1976), fasc. n.1-2, p. 30-36, (Italian)
pdf (443 Kb), djvu (599 Kb). | MR 0477113 | Zbl 0372.35062
Sunto
We study “Hardy-like” growth of the solutions of the $\bar{\delta}$-problem in strictly pseudo-convex domains in $\mathbf{C}^{n}$ and we give a scripture result for functions in $\mathcal{H}^{p}$. The proofs of the statements announced here will appear elsewhere.
Referenze Bibliografiche
[3]
G. M. HENKIN (
1969) -
Integral representation of functions holomorphic in strictly pseudoconvex domains and some applications, «
Math. Sb.»,
78 (120), 611-632 (Russian) and «
Math. USSR Sb.»,
7, 597-616. |
MR 249660[4] G. M. HENKIN (1970) - Integral representation of functions in strictly pseudoconvex domains and applications to the $\bar{\delta}$-problem, «Math. Sb.», 82 (124), 300-308 (Russian) and «Math. USSR Sb.», 11, 273-281.
[5]
L. HÖRMANDER (
1973) -
An introduction to complex analisis in several variables. Amsterdam:
North-Holland Pub. Co.. |
MR 344507[6]
N. KERZMAN e
A. NAGEL (
1971) -
Finitely generated ideals in certain function algebras, «
J. of Functional Analysis»,
7, 212-215. |
MR 275172 |
Zbl 0211.43902[7]
N. 0VRELID (
1970) -
Integral representation formulas and $L^{P}$-estimates for the $\bar{\delta}$-equations, «
Math. Scand.»,
29, 137-160. |
fulltext EuDML |
fulltext (doi) |
MR 324073[8]
E. M. STEIN (
1972) -
Boundary behavior of holomorphic functions of several complex variables.
Mathematical Notes, Princenton:
Princeton University Press. |
MR 473215 |
Zbl 0242.32005
Con il contributo del Ministero per i Beni e le Attività Culturali