摘要:

The author gives a simple starlikeness criterion for locally biholomorphic mapping from the open unit ball inCnintoCn.

ISSN:0278-1077    

DOI:10.1080/17476939408814742

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

摘要:

In this paper, nonlinear boundary value problems for second order elliptic system classE2for multiply connected domains in the plane is considered. We give the integral representations of Green's functions for Dirichlet problems and Neumann problems, By using the Green's functions, we mainly discuss the solvability of nonlinear Dirichlet problems and Neumann problems and give the expression of the solution.

ISSN:0278-1077    

DOI:10.1080/17476939408814743

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

摘要:

In Refs. [1], [2] and [4], we discussed the discontinuous Riemann-hilbert boundary value problems for nonlinear uniformly elliptic complex equations of first order in a multiply connected plane domain, but, there the solution for the modified boundary value problem with the indecesK<-1 has a pole ofdegree in the domain. In this paper, we give a new well posedness of the discontinuous Riemann-hilbert problem for elliptic complex equation of first order, so that its solution will be continuous in the domain. One of the significances of the paper is that the present proof of solvability of the modified boundary value problem for analytic functions and generalized analytic functions is new and simpler, which is mainly based on the zero property of analytic functions and a priori estimates of solutions and some other arguments without using the method of integral equations.

ISSN:0278-1077    

DOI:10.1080/17476939408814744

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

摘要:

LetGbe a finitely-connected plane domain with analytic boundary Г denote byAthe area ofG, and byPits perimeter. Theanalytic contentλ ofGis the uniform distance from the function [zbar] to the uniform algebraA(G)of functions holomorphic insideGwhich are continuous up to Г.D. Khavinson has conjectured that λ = 2A/Pif, and only if, G is a disk or an annulus. In an attempt to settle down this conjecture we reformulate it in terms of potential theory and of quadrature identities for certain classes of harmonic and holomorphic functions. Some characterizations of disks and annuli along those lines are obtained.

ISSN:0278-1077    

DOI:10.1080/17476939408814745

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

摘要:

We consider the family B of bounded nonvanishing analytic functionsin

ISSN:0278-1077    

DOI:10.1080/17476939408814746

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

摘要:

Suppose μ is a complex-valued Borel measure on {ζ:|ζ| = 1} and 0<α<β. This paper studies various properties ofthat are passed down to

ISSN:0278-1077    

DOI:10.1080/17476939408814747

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

摘要:

Letf(z) be a quasiconformal mapping of the unit diskDonto itself, and φ be the boundary correspondence off. In this paper, we prove that when the complex dilatation μ(z) off(z) satisfies a Holder continuity condition in the intersection ofDand a neighborhood of point ζ0σ∂D, the Reich quasicon-formal extensionf*(z) of ϕ has the conformality property at ζ0and the partial derivatives off*(z) can be continuously extended to ζ0.

ISSN:0278-1077    

DOI:10.1080/17476939408814748

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939408814741

出版商:Gordon and Breach Science Publishers    

年代:1994

数据来源: Taylor