Boundary estimates for derivatives of harmonic functions
Boundary functions in
We solve the Dirichlet problem for line integrals of holomorphic functions in the unit ball: For a function which is lower semi-continuous on we give necessary and sufficient conditions in order that there exists a holomorphic function such that
Boundary Interpolation and Proper Holomorphic Maps from the Disc to the Ball.
Boundary Interpolation by Proper Holomorphic Maps.
Boundary Properties of Holomorphic Functions in the Ball of Cn.
Boundary regularity of admissible operators.
In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between admissible integral operators, as introduced by Lieb and Range, and smooth vector fields which are tangential at boundary points. This makes it possible to gain estimates for admissible operators in function spaces which involve tangential derivatives. Examples are given under with circumstances these can be transformed into genuine Sobolev- and Ck-estimates.
Boundary Regularity of Proper Holomorphic Mappings.
Boundary value problems for generalized analytic functions of several complex variables
Boundary values, Fourier-Sato transform and Laplace transform.
Boundary values of bounded holomorphic functions
Boundary values of cohomology classes as hyperfunctions
Boundary values of functions in Cegrell’s class
We study boundary values of functions in Cegrell’s class .
Boundary values of holomorphic functions and Cauchy problem for operator in the polydisc
Bounde Reinhardt domains in Banach spaces
Bounded Analytic Functions in the Dirichlet Space.
Bounded bicircular domains in Cn.
Bounded domains with prescribed group of automorphisms.
Bounded Holomorphic Embeddings of the Unit Disk into Banach Spaces.
Bounded holomorphic functions with multiple sheeted pluripolar hulls
We describe compact subsets K of ∂𝔻 and ℝ admitting holomorphic functions f with the domains of existence equal to ℂ∖K and such that the pluripolar hulls of their graphs are infinitely sheeted. The paper is motivated by a recent paper of Poletsky and Wiegerinck.
Bounded Kähler class rigidity of actions on hermitian symmetric spaces