A Reflection Principle for Proper Holomorphic Mappings of Strongly Pseudoconvex Domains and Applications.
A Reflection Principle with Applications to Proper Holomorphic Mappings.
A remark on complex powers of analytic functions
Sia un compatto, una funzione analitica all'intorno di , ed la massima molteplicità in degli zeri di ; si prova che la potenza (, ) è integrabile in . L'estensione meromorfa dell'applicazione da a tutto (con valori in anziché in ) era già stata provata in [1] e [2].
A remark on the multipliers on spaces of Weak Products of functions
If H denotes a Hilbert space of analytic functions on a region Ω ⊆ Cd , then the weak product is defined by [...] We prove that if H is a first order holomorphic Besov Hilbert space on the unit ball of Cd , then the multiplier algebras of H and of H ⊙ H coincide.
A remark on the uniform extendability of the Bergman kernel function.
A ring of analytic functions, II
A Schwarz lemma for correspondences and applications.
A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.
A Schwarz lemma on complex ellipsoids
We give a Schwarz lemma on complex ellipsoids.
A sharp form of Nevanlinna's second main theorem of several complex variables.
A sharp norm estimate for weighted Bergman projections on the minimal ball.
A special integral representation for a local residue.
A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ
In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
A symmetrization inequality for plurisubharmonic functions.
A Tate-theoretic view of Krasner's non-archimedean function theory.
A Tauberian Theorem and Tangential Convergence for Bounded Harmonic Functions on Balls in ...n.
A theorem of Nehari type on weighted Bergman spaces of the unit ball.
A triple ratio on the Silov boundary of a bounded symmetric domain
Let be a Hermitian symmetric space of tube type, its Silov boundary and the neutral component of the group of bi-holomorphic diffeomorphisms of . Our main interest is in studying the action of on . Sections 1 and 2 are part of a joint work with B. Ørsted (see [4]). In Section 1, as a pedagogical introduction, we study the case where is the unit disc and is the circle. This is a fairly elementary and explicit case, where one can easily get a flavour of the more general results. In Section...
A uniqueness property for measures on
A uniqueness theorem for invariantly harmonic functions in the unit ball of Cn.
We prove a boundary uniqueness theorem for harmonic functions with respect to Bergman metric in the unit ball of Cn and give an application to a Runge type approximation theorem for such functions.
A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ
We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.