Search Results - boundary behavior of holomorphic functions of several variables

Radon Inversion Problem for Holomorphic Functions on Circular, Strictly Convex Domains by Pierzchała, P., Kot, P.

“… We show that given p > 0 and a strictly positive, continuous function Φ on ∂ Ω , by use of homogeneous polynomials it is possible to construct a holomorphic function f ∈ O ( Ω ) such that ∫ 0 1 | f ( z t ) | p d t = Φ ( z ) for all z ∈ ∂ Ω…”
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Foundations of Fatou Theory and a Tribute to the Work of E. M. Stein on Boundary Behavior of Holomorphic Functions by Di Biase, Fausto, Krantz, Steven G.

“… Stein to the study of the boundary behavior both of holomorphic and harmonic functions in one and several variables…”
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On the representation and boundary behavior of certain classes of holomorphic functions in several variables by Tully-Doyle, Ryan Keddie

“…This dissertation concerns the investigation of function theoretic properties of certain classes of holomorphic functions in two or more variables by means of operator theoretic methods…”
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Bounded holomorphic functions and maps with some boundary behavior by Matsushima, Toshio

“…Let Ω be a domain of C n . As a study of boundary behavior of functions and maps in Ω, we consider…”
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Holomorphic continuation of functions in the domains with singular boundaries by Djumabaev, D. Kh

“…We consider bounded domains…”
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The Schwarz lemma at the boundary by Krantz, Steven G.

“…The most classical version of the Schwarz lemma involves the behaviour at the origin of a bounded, holomorphic function on the disc…”
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The boundary behavior of holomorphic functions: Global and local results by Krantz, Steven G

“…We develop a new technique for studying the boundary limiting behavior of a holomorphic function on a domain \(\Omega…”
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The boundary behavior of holomorphic functions by Min, Baili

“…In the theory of several complex variables, the Fatou type problems, the Lindelöf principle, and inner functions have been well studied for strongly pseudoconvex domains…”
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Radial limits of holomorphic functions on the ball by Fulkerson, Michael C

“…In this dissertation, we consider various aspects of the boundary behavior of holomorphic functions of several complex variables…”
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Compositionally universal meromorphic functions by Meyrath, Thierry

“… We also consider meromorphic functions that have in some sense a maximally erratic boundary behavior in general domains…”
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Weights of holomorphic extension and restriction by Diederich, K., Herbort, G., Michel, V.

“…′ is contained in L 2( D′, ϕ), and it is called a weight of extension, if any holomorphic function in L 2( D′, ϕ…”
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Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces by Włodarczyk, Kazimierz, Klim, Dorota

“… convergence of random iterations and study the existence of fixed points and boundary behaviour of iterations…”
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A Survey on the L2 Extension Theorems by Ohsawa, Takeo

“…Results on the extension of L 2 holomorphic functions will be described after a history of the L 2 method…”
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Narasimhan-Simha-type metrics on strongly pseudoconvex domains in ℂ n by Borah, Diganta, Verma, Kaushal

“…For a bounded domain , let denote the Bergman kernel on the diagonal and consider the reproducing kernel Hilbert space of holomorphic functions on D that are square integrable with respect…”
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Geometric function theory in several complex variables: Proceedings of a satellite conference to the International Congress on Mathematicians in Beijing 2002, University of Science and Technology, China, 30 August - 2 September 2002 by FitzGerald, Carl H, Gong, Sheng

“… The main theme is the extension of geometric function theory methods and theorems to several complex variables…”
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Cauchy-type integrals in several complex variables by Lanzani, Loredana, Stein, Elias M.

“… Among these operators we focus on those that are more closely related to the classical Cauchy integral for a planar domain, whose kernel is a holomorphic function of the parameter z ∈ D…”
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Studies of holomorphic functions having absolutely continuous boundary values on curves in the unit ball of C(n) by Deckelman, Steven Michael

“…The research results we present are concerned with the behaviour of holomorphic functions having absolutely continuous boundary values on curves in the unit ball of $\doubc\sp n…”
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Holomorphic mappings of domains in Cn onto convex domains (by Ted J. Suffridge) by SUFFRIDGE, TED J.

“… A major emphasis will be on convex mappings of the Euclidean ball and questions concerning boundary behavior…”
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Narasimhan–Simha-type metrics on strongly pseudoconvex domains in ℂn by Borah, Diganta, Verma, Kaushal

“…For a bounded domain , let denote the Bergman kernel on the diagonal and consider the reproducing kernel Hilbert space of holomorphic functions on D that are square integrable with respect…”
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Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel by Charpentier, Philippe, Dupain, Yves

“…In this paper, we give a precise description of the complex geometry of a pseudo-convex domain in C n near a boundary point of finite type where the Levi form is locally diagonalizable, and we use…”
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