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Displaying 161 – 180 of 312

Les boules limites de Caratheodory dans un domaine pseudoconvexe

Adib A. Fadlalla (1979)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Les noyaux de Bergman et Szegö pour des domaines strictment pseudo-convexes qui généralisent la boule.

Jean-Jacques Loeb (1992)

Publicacions Matemàtiques

Let G be a complex semi-simple group with a compact maximal group K and an irreducible holomorphic representation ρ on a finite dimensional space V. There exists on V a K-invariant Hermitian scalar product. Let Ω be the intersection of the unit ball of V with the G-orbit of a dominant vector. Ω is a generalization of the unit ball (case obtained for G = SL(n,C) and ρ the natural representation on Cn).We prove that for such manifolds, the Bergman and Szegö kernels as for the ball are rational fractions...

Levi flat hypersurfaces in $C^{2}$ with prescribed boundary : stability

Eric Bedford (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Line bundle convexity of pseudoconvex domains in complex manifolds.

Karen R. Pinney (1991)

Mathematische Zeitschrift

Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.

John S. Bland (1983)

Mathematische Annalen

Local existence theorems with estimates for ...b on weakly pseudo convex CR manifolds.

Mei-Chi Shaw (1992)

Mathematische Annalen

Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter

Joji Kajiwara, Kwang Ho Shon, Miki Tsuji (1998)

Czechoslovak Mathematical Journal

Localization of the Kobayashi Metric and the Boundary Continuity of Proper Holomorphic Mappings.

Jean-Pierre Rosay, Franc Forstneric (1987/1988)

Mathematische Annalen

Logarithmic Growth of the Bergman Kernel for Weakly Pseudoconvex Domains in ...3 of Finite Type.

Gregor Herbort (1983)

Manuscripta mathematica

Maximum modulus sets

Thomas Duchamp, Edgar Lee Stout (1981)

Annales de l'institut Fourier

We investigate some aspects of maximum modulus sets in the boundary of a strictly pseudoconvex domain $D$ of dimension $N$ . If $Σ \subset b D$ is a smooth manifold of dimension $N$ and a maximum modulus set, then it admits a unique foliation by compact interpolation manifolds. There is a semiglobal converse in the real analytic case. Two functions in $A^{2} (D)$ with the same smooth $N$ -dimensional maximum modulus set are analytically related and are polynomially related if a certain homology class in $H_{1} (D, R)$ vanishes or if $\overline{D} \subset C^{N}$ is polynomially...

Mesures de Carleson d’ordre $α$ et solutions au bord de l’équation $\bar{\partial}$

Eric Amar, Aline Bonami (1979)

Bulletin de la Société Mathématique de France

Microlocal analyticity for ...b in block-decoupled pseudoconvex domains.

Makhlouf Derridj, David S. Tartakoff (1995)

Mathematische Zeitschrift

Mixed-norm spaces and interpolation

Joaquín Ortega, Joan Fàbrega (1994)

Studia Mathematica

Let D be a bounded strictly pseudoconvex domain of $ℂ^{n}$ with smooth boundary. We consider the weighted mixed-norm spaces $A_{δ, k}^{p, q} (D)$ of holomorphic functions with norm $∥ f ∥_{p, q, δ, k} = (\sum_{| α | \leq k} ʃ_{0}^{r_{0}} (ʃ_{\partial D_{r}} | D^{α} {f |}^{p} d σ_{r} {)^{q / p} r^{δ q / p - 1} d r)}^{1 / q}$ . We prove that these spaces can be obtained by real interpolation between Bergman-Sobolev spaces $A_{δ, k}^{p} (D)$ and we give results about real and complex interpolation between them. We apply these results to prove that $A_{δ, k}^{p, q} (D)$ is the intersection of a Besov space $B_{s}^{p, q} (D)$ with the space of holomorphic functions on D. Further, we obtain several properties of the mixed-norm...

Currently displaying 161 – 180 of 312

Previous Page 9 Next

Displaying 161 – 180 of 312

Les boules limites de Caratheodory dans un domaine pseudoconvexe

Les noyaux de Bergman et Szegö pour des domaines strictment pseudo-convexes qui généralisent la boule.

Levi flat hypersurfaces in $C^{2}$ with prescribed boundary : stability

Line bundle convexity of pseudoconvex domains in complex manifolds.

Local Boundary Regularity of the Canonical Einstein-Kähler Metric on Pseudoconvex Domains.

Local existence theorems with estimates for ...b on weakly pseudo convex CR manifolds.

Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter

Localization of the Kobayashi Metric and the Boundary Continuity of Proper Holomorphic Mappings.

Logarithmic Growth of the Bergman Kernel for Weakly Pseudoconvex Domains in ...3 of Finite Type.

Maximum modulus sets

Mesures de Carleson d’ordre $α$ et solutions au bord de l’équation $\bar{\partial}$

Microlocal analyticity for ...b in block-decoupled pseudoconvex domains.

Mixed-norm spaces and interpolation

Morphismes surjectifs de fibrés vectoriels semi-positifs

Multifonctions analytiques polygonales

Non-existence of proper holomorphic maps between certain complex manifolds.

Non-Realizable CR Structures.

Non-Vanishing of the Bergman Kernel Function at Boundary Points of Certain Domains in Cn .

Note on integral representation of holomorphic functions in several complex variables

Noyau de Bergman et applications biholomorphes dans des domaines strictement pseudo-convexes

Currently displaying 161 – 180 of 312