Solutions of the Schröder equation
Solutions to a class of polynomially generalized Bers–Vekua equations using Clifford analysis
In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present the structure...
Some applications of Cauchy-Fantappie forms to (local) problems on
Some applications of functions of several complex variables to Toeplitz and subnormal operators
Some applications of geometry of Banach spaces to harmonic analysis
Some applications of the Bergman kernel to geometrical theory of functions
Some applications of the trace condition for pluriharmonic functions in Cn.
In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in Cn. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.
Some boundary-value properties of an analytic function in a bicylinder
Some characterizations of Bloch functions on strongly pseudoconvex domains
Some characterizations of harmonic Bloch and Besov spaces
The relationship between weighted Lipschitz functions and analytic Bloch spaces has attracted much attention. In this paper, we define harmonic --Bloch space and characterize it in terms of and where is a majorant. Similar results are extended to harmonic little --Bloch and Besov spaces. Our results are generalizations of the corresponding ones in G. Ren, U. Kähler (2005).
Some Characterizations of L-regular Points.
Some class of integral functions represented by Dirichlet series of several complex variables having finite order.
Some gap power series in multidimensional setting
We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Some inequalities of isoperimetric type for the integral means of analytic functions
Some new estimates for distances in analytic function spaces of several complex variables and double Bergman representation formula.
Some properties of Reinhardt domains
We first establish the equivalence between hyperconvexity of a fat bounded Reinhardt domain and the existence of a Stein neighbourhood basis of its closure. Next, we give a necessary and sufficient condition on a bounded Reinhardt domain D so that every holomorphic mapping from the punctured disk into D can be extended holomorphically to a map from Δ into D.
Some capacities and applications - the lemma on mixed derivatives revisited
Some remarks on the Casorati-Weierstrass theorem
Some spaces of entire and nuclearly entire functions on a Banach space. I.
Some spaces of entire and nuclearly entire functions on a Banach space. II.