摘要:

The Hilbert boundary value problem for multiply connected circular domains has been

ISSN:0278-1077    

DOI:10.1080/17476939808815087

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

Using the Nevanlinna theory, for a system of differential equations in the complex plane we in vestigate the system of solutions containing m-admissible components and obtain two results which are more precise and more general than the previous ones.

ISSN:0278-1077    

DOI:10.1080/17476939808815088

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

Let Ω be the set of all interpolating Blaschke products unimodular on the trivial Gleason parts ofM(H∞. Let Ωfi:be the subset of Ω consisting of elements having finitely many roots in each part except the open unit disk. SupposeE(resp.Efiis the Douglas algebra generated byH∞and the complex conjugates of elements of Ω (resp. Ωfi). Our main results are that the set of all invertible inner functions in Ω (resp. Ωfi). is the set of all finite products of elements of Ω (resp. Ωfi), which is also the closure of Ω (resp. Ωfi) among the Blaschke products. Consequently, finite convex combinations of finite products of elements of Ω (resp. Ωfi).are dense in the closed unit ball of the subalgebra ofH∞generated by Ω (resp. Ωfi).

ISSN:0278-1077    

DOI:10.1080/17476939808815089

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In the plenary lecture “Holomorphic curves and potential theory” given on 2 August 1995 at the 16-th Rolf Nevanlinna Colloquium in Joensuu (Finland), A. Eremenko posed an open extremal problem on harmonic functions. The present paper gives the complete solution of this problem obtained by the author at the fall of 1995, and contains also related results, as well as various their extensions and refinements.

ISSN:0278-1077    

DOI:10.1080/17476939808815090

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

This paper deals with a generalization of the Vekua-Riemann function. The linear differential equationwith holomorphic coefficients and holomorphic right side is considered. The Riemann function of this differential equation is defined recursively by some Goursat conditions. As a special case the well known Vekua-Riemann function is obtained. With the help of the generalized Riemann function, every holomorphic solution possesses an integral representation, in which the Goursat conditions enter. This method can also be applied to ordinary differential equations. A fundamental system can be computed by solving a single initial value problem.

ISSN:0278-1077    

DOI:10.1080/17476939808815091

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

We prove a theorem on uniform approximation of square integrable bundle-valued top

ISSN:0278-1077    

DOI:10.1080/17476939808815092

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In the paper we utilize the formula describing the behaviour of the pluricomplex Green function with many poles under proper holomorphic mappings to find the effective for-mulas for the function in the unit ball inwith two poles.

ISSN:0278-1077    

DOI:10.1080/17476939808815093

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939808815086

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor