Global regularity of the ...-Neumann problem on circular domains.
Group actions and envelopes of holomorphy.
Growth of functions in tubes.
spaces in tubes and distributional boundary values
H² spaces of generalized half-planes
H² spaces of generalized half-planes
Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin.
Holomorphic Equivalence Problem for Bounded Reinhardt Domains.
Holomorphic extension of generalizations of functions.
Holomorphic extension of generalizations of functions. II.
Holomorphic functions of fast growth on submanifolds of the domain
We construct a function f holomorphic in a balanced domain D in such that for every positive-dimensional subspace Π of , and for every p with 1 ≤ p < ∞, is not -integrable on Π ∩ D.
Holomorphic mapping of annuli in and the associated extremal function
Hua-harmonic functions on symmetric type two Siegel domains
We study a natural system of second order differential operators on a symmetric Siegel domain that is invariant under the action of biholomorphic transformations. If is of type two, the space of real valued solutions coincides with pluriharmonic functions. We show the main idea of the proof and give a survey of previous results.
Imbedding of Power Series Spaces and Spaces of Analytic Functions.
Inner -th Carathéodory-Reiffen completeness of Reinhardt domains
A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner -th Carathéodory-Reiffen distance, is given.
Integral representations for some weighted classes of functions holomorphic in matrix domains
In 1945 the first author introduced the classes , 1 ≤ p<∞, α > -1, of holomorphic functions in the unit disk with finite integral (1) ∬ |f(ζ)|p (1-|ζ|²)α dξ dη < ∞ (ζ=ξ+iη) and established the following integral formula for : (2) f(z) = (α+1)/π ∬ f(ζ) ((1-|ζ|²)α)/((1-zζ̅)2+α) dξdη, z∈ . We have established that the analogues of the integral representation (2) hold for holomorphic functions in Ω from the classes , where: 1) , ; 2) Ω is the matrix domain consisting of those complex m...
Intrinsic measures complex manifolds
Intrinsic metrics in complete circular domains.
Invariant distances and metrics in complex analysis-revisited [Book]
Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs triangle. Finally, we study the behaviour of the pluricomplex Green function g(z,w) as the pole w tends to a boundary point.