On an integral operator on the unit ball in .
On an integral-type operator acting between Bloch-type spaces on the unit ball.
On an integral-type operator from Privalov spaces to Bloch-type spaces
Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator , f ∈ H(B). The boundedness and compactness of from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied
On an integral-type operator from Zygmund-type spaces to mixed-norm spaces on the unit ball.
On Analytic Abelian Coverings.
On analytic models of synthetic differential geometry
On analytic sets and functions with given isolated singularities.
On approximating submanifolds by algebraic sets and a solution to the Nash conjecture.
On approximation by special analytic polyhedral pairs
For bounded logarithmically convex Reinhardt pairs "compact set - domain" (K,D) we solve positively the problem on simultaneous approximation of such a pair by a pair of special analytic polyhedra, generated by the same polynomial mapping f: D → ℂⁿ, n = dimΩ. This problem is closely connected with the problem of approximation of the pluripotential ω(D,K;z) by pluripotentials with a finite set of isolated logarithmic singularities ([23, 24]). The latter problem has been solved recently for arbitrary...
On approximation of analytic functions and generalized orders
A characterization of a generalized order of analytic functions of several complex variables by means of polynomial approximation and interpolation is established.
On approximation of smooth submanifolds by nonsingular real algebraic subvarieties
On arc-analytic functions definable by a Weierstrass system
This paper presents certain characterizations through blowing up of arc-analytic functions definable by a convergent Weierstrass system closed under complexification.
On associated discriminants for polynomials in one variable.
On asymptotic critical values and the Rabier Theorem
Let X ⊂ kⁿ be a smooth affine variety of dimension n-r and let be a polynomial dominant mapping. It is well-known that the mapping f is a locally trivial fibration outside a small closed set B(f). It can be proved (using a general Fibration Theorem of Rabier) that the set B(f) is contained in the set K(f) of generalized critical values of f. In this note we study the Rabier function. We give a few equivalent expressions for this function, in particular we compare this function with the Kuo function...
On asymptotic solutions of analytic equations
Sufficient conditions for the existence of an analytic solution of analytic equations in the complex and real cases are given.
On Automorphic Forms and Hodge Theory.
On Automorphism Groups of Compact Kähler Manifolds.
On Automorphisms of Complements of Analytic Subsets in Cn.
On balanced L²-domains of holomorphy
We show that any bounded balanced domain of holomorphy is an -domain of holomorphy.
On Bănică sheaves and Fano manifolds