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Weighted Bergman–Dirichlet and Bargmann–Dirichlet Spaces in High Dimension
In this paper, we consider and study the n -dimensional extension of the Bergman–Dirichlet and Bargmann–Dirichlet spaces introduced recently in El...
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Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones
We prove Carleson embeddings for Bergman spaces of tube domains over symmetric cones, we apply them to characterize symbols of bounded Cesàro-type...
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Landau–Bloch Constants for Functions in α-Bloch Spaces and Hardy Spaces
In this paper, we obtain a sharp distortion theorem for a class of functions in α -Bloch spaces, and as an application of it, we establish the...
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Free Analysis, Convexity and LMI Domains
This paper concerns free analytic maps on noncommutative domains. These maps are free analogs of classical holomorphic functions in several complex...
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A generalization of Clausen’s identity
The paper gives an extension of Clausen’s identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related...
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On the Hyperderivatives of Moisil–Théodoresco Hyperholomorphic Functions
Any Moisil-Th´eodoresco-hyperholomorphic function is also Fueterhyperholomorphic, but its hyperderivative is always zero, so these functions can be...
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The Maximum Principle for Holomorphic Operator Functions
We show that if an operator-valued analytic function f of a complex variable attains its maximum modulus at z 0 , then the coefficients of the...
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Holomorphic Extensions in Smooth Toric Surfaces
This article describes the Hartogs and the Hartogs–Bochner extension phenomena in smooth toric surfaces and the connection with the first cohomology...
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H ∞-functional calculus and models of Nagy–Foiaş type for sectorial operators
We prove that a sectorial operator admits an H ∞ -functional calculus if and only if it has a functional model of Nagy–Foiaş type. Furthermore, we...
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Transition Density Estimates for a Class of Lévy and Lévy-Type Processes
We show on- and off-diagonal upper estimates for the transition densities of symmetric Lévy and Lévy-type processes. To get the on-diagonal...
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Pompeiu Problem on Product of Heisenberg Groups
In this paper, we address the Pompeiu problem for a product of Heisenberg groups. We consider this problem both for cases of a ball and for a bidisk....
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Schlicht Envelopes of Holomorphy and Foliations by Lines
Given a domain Y in a complex manifold X , it is a difficult problem with no general solution to determine whether Y has a schlicht envelope of...
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Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals
We introduce the notion of the derivative as the limit of a quotient where the numerator and the denominator represent a kind of the “increments” of...
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A holomorphic extension theorem from a fractal hypersurface in ℂ2
We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ 2 . We use the quaternionic analysis techniques...
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A Morse-theoretical proof of the Hartogs extension theorem
One hundered years ago exactly, in 1906, Hartogs published a celebrated extension phenomenon (birth of Several Complex Variables), whose global...
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On the Bessmertnyĭ Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes
We generalize our earlier results from [9] on the Bessmertnyĭ class of operator-valued functions holomorphic in the open right poly-halfplane which...
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L p Results for the Pompeiu Problem with Moments on the Heisenberg Group
This article extends previous results on the Pompeiu problem with moments. On the Heisenberg group the results previously considered for L 2 ( H n ) have...
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Some differential and integral equations with applications to Toeplitz operators
We solve a certain differential equation and system of integral equations. As applications, we characterize holomorphic symbols of commuting Toeplitz...
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Compact-like manifolds associated to JB*-triples
Finite dimensional JB \ast; -triples have a uniquely associated simply connected compact symmetric manifold. In infinite dimensions, different...
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Duality theorems for certain analytic spaces on the minimal ball
In this note we prove some duality theorems for certain spaces of analytic functions on the minimal ball. These spaces are strongly related to...