@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}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 9}, number = {3}, year = {1982}, mrnumber = {681932}, zbl = {0526.32014}, language = {en}, url = {http://archive.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 - http://archive.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, Serie 4, Volume 9 (1982) no. 3, pp. 365-404. http://archive.numdam.org/item/ASNSP_1982_4_9_3_365_0/
[1] Local Analytic Geometry, Academic Press, New York, 1964. | MR | Zbl
,[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. | EuDML | MR | Zbl
,[6] The Kernel Function and Conformal Mapping, 2nd ed., Amer. Math. Soc., Providence, 1970. | MR | Zbl
,[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. | MR | Zbl
,[9] The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math., 26 (1974), pp. 1-65. | EuDML | MR | Zbl
,[10] The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, 1972. | MR | Zbl
- ,[11] Special Chapters in the Theory of Analytic Functions of Several Complex Variables, Amer. Math. Soc., Providence, Rhode Island, 1965. | MR | Zbl
,[12] Generalized Functions, vol. II, Academic Press, New York, 1968. | MR | Zbl
- ,[13] Geometric Theory of Functions of a Complex Variable, Amer. Math. Soc., Providence, 1969. | MR | Zbl
,[14] Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978. | MR | Zbl
- ,[15] Sur certains espaces de fonctions holomorphes, J. Reine Angew. Math., 192 (1953), pp. 35-64. | MR | Zbl
,[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. | MR | Zbl
- ,[18] An Introduction to Complex Analysis in Several Variables, Van Nostrand, Princeton, 1966. | MR | Zbl
,[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. | MR | Zbl
,[22] Harmonic integrals on strictly pseudoconvex manifolds, I, Ann. of Math., 781 (1963), pp. 112-148. | MR | Zbl
,[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. | MR | Zbl
,[25] Fonctionnelles analytiques et fonctions entières (n variables), les Presses de l'Université de Montréal, Montréal, 1968. | MR | Zbl
,[26] Sur la topologie des espaces de fonctions holomorphes, Math. Ann., 163 (1966), pp. 62-88. | MR | Zbl
,[27] Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. Analyse Math., 11 (1963), pp. 1-64. | MR | Zbl
,[28] Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math., 33 (1980), pp. 305-338. | MR | Zbl
- - ,[29] On the analytic continuation of holomorphic mappings, Math. USSR-Sb., 27 (1975), pp. 375-392. | MR | Zbl
,[30] Differentialgeometrie und Faserbündel, Birkhäuser verlag, Basel, 1972. | MR | Zbl
- ,[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. | Numdam | MR | Zbl
,[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. | MR | Zbl
,[35] Functional Analysis, 4th ed., Springer-Verlag, New York, 1974. | MR | Zbl
,[36] A geometric criterion for strong linear convexity, Functional Anal. Appl., 13 (1979), pp. 224-225. | MR | Zbl
,