@article{ASNSP_1982_4_9_3_365_0,
author = {Zorn, Paul},
title = {Analytic functionals and {Bergman} spaces},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {365--404},
year = {1982},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 9},
number = {3},
mrnumber = {681932},
zbl = {0526.32014},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1982_4_9_3_365_0/}
}
TY - JOUR AU - Zorn, Paul TI - Analytic functionals and Bergman spaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1982 SP - 365 EP - 404 VL - 9 IS - 3 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1982_4_9_3_365_0/ LA - en ID - ASNSP_1982_4_9_3_365_0 ER -
Zorn, Paul. Analytic functionals and Bergman spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 9 (1982) no. 3, pp. 365-404. https://www.numdam.org/item/ASNSP_1982_4_9_3_365_0/
[1] , Local Analytic Geometry, Academic Press, New York, 1964. | Zbl | MR
[2] , The general form of a linear continuous functional in spaces of functions that are holomorphic in convex domains of CN, Soviet Math., 7 (1966), pp. 198-201. | Zbl
[3] , A representation theorem in strictly pseudo convex domains, to appear. | Zbl
[4] , Biholomorphic mappings and the ∂-Problem, Ann. Math., 114 (1981), pp. 103-113. | Zbl
[5] , Nonvanishing of the Bergman kernel function at boundary points of certain domains in CN, Math. Ann., 244 (1979), pp. 69-74. | Zbl | MR | EuDML
[6] , The Kernel Function and Conformal Mapping, 2nd ed., Amer. Math. Soc., Providence, 1970. | Zbl | MR
[7] - , On global real-analyticity of solutions to the ∂-Neumann problem, Comm. Partial Diff. Equat., 1 (1976), pp. 401-435. | Zbl
[8] , Functional Analysis, Holt, Rinehart, and Winston, New York, 1965. | Zbl | MR
[9] , The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math., 26 (1974), pp. 1-65. | Zbl | MR | EuDML
[10] - , The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, 1972. | Zbl | MR
[11] , Special Chapters in the Theory of Analytic Functions of Several Complex Variables, Amer. Math. Soc., Providence, Rhode Island, 1965. | Zbl | MR
[12] - , Generalized Functions, vol. II, Academic Press, New York, 1968. | Zbl | MR
[13] , Geometric Theory of Functions of a Complex Variable, Amer. Math. Soc., Providence, 1969. | Zbl | MR
[14] - , Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978. | Zbl | MR
[15] , Sur certains espaces de fonctions holomorphes, J. Reine Angew. Math., 192 (1953), pp. 35-64. | Zbl | MR
[16] , Integral representations of functions holomorphic in strictly pseudoconvex domains, and some applications, Math. USSR-Sb., 7 (1969), pp. 597-616. | Zbl
[17] - , Boundary properties of holomorphic functions of several complex variables, J. Soviet Math., 5 (1976), pp. 612-687. | Zbl | MR
[18] , An Introduction to Complex Analysis in Several Variables, Van Nostrand, Princeton, 1966. | Zbl | MR
[19] , Differentiability at the boundary of the Bergman kernel function, Math. Ann., 195 (1972), pp. 149-158. | MR
[20] , Hölder and Lp estimates for solutions of ∂u = f in strongly pseudo- convex domains, Comm. Pure Appl. Math., 24 (1971), pp. 301-380. | Zbl
[21] , On unique supports of analytic functionals, Ark. Mat., 6 (1965), pp. 307-318. | Zbl | MR
[22] , Harmonic integrals on strictly pseudoconvex manifolds, I, Ann. of Math., 781 (1963), pp. 112-148. | Zbl | MR
[23] , Global analytic-hypoellipticity of the ∂-Neumann problem, Tôhoku Math. J., 28 (1976), pp. 145-156. | Zbl
[24] , Über zwei Sätze von Banach, Math. Z., 53 (1950), pp. 203-209. | Zbl | MR
[25] , Fonctionnelles analytiques et fonctions entières (n variables), les Presses de l'Université de Montréal, Montréal, 1968. | Zbl | MR
[26] , Sur la topologie des espaces de fonctions holomorphes, Math. Ann., 163 (1966), pp. 62-88. | Zbl | MR
[27] , Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. Analyse Math., 11 (1963), pp. 1-64. | Zbl | MR
[28] - - , Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math., 33 (1980), pp. 305-338. | Zbl | MR
[29] , On the analytic continuation of holomorphic mappings, Math. USSR-Sb., 27 (1975), pp. 375-392. | Zbl | MR
[30] - , Differentialgeometrie und Faserbündel, Birkhäuser verlag, Basel, 1972. | Zbl | MR
[31] , The local real analyticity of solutions to □ b and the ∂-Neumann problem, Acta Math., 145 (1980), pp. 177-204. | Zbl
[32] , Tracce delle funzioni olomorfe sulle sottovarietà analitiche reali d'una varietà complessa, Ann. Scuola Norm. Sup. Pisa, 20 (1966), pp. 31-43. | Zbl | MR | Numdam
[33] , Analytic hypoellipticity of a class of pseudodifferential operators with double characteristics and applications to the ∂-Neumann problem, Comm. Partial Diff. Equat., 3 (1978), pp. 475-642. | Zbl
[34] , On differentiability at the boundary of conformal mappings, Proc. Amer. Math. Soc., 12 (1961), pp. 614-620. | Zbl | MR
[35] , Functional Analysis, 4th ed., Springer-Verlag, New York, 1974. | Zbl | MR
[36] , A geometric criterion for strong linear convexity, Functional Anal. Appl., 13 (1979), pp. 224-225. | Zbl | MR





