ISSN:0278-1077    

DOI:10.1080/17476939208814568

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Spaces of holomorphic functions on tubes inwhich generalise the Hardy Hpspaces on tubes are defined and studied using the theory of ultradistributions. The holomorphic functions are of arbitrary growths both at the origin and at infinity. Representations of these holomorphic functions in terms of Fourier-Laplace transforms, Cauchy and Poisson integrals are given. Distributional boundary value results are obtained. Converse results are given. Various results on ultradistributions are also obtained which are relevant to the present investigation.

ISSN:0278-1077    

DOI:10.1080/17476939208814566

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

In this note we show that the factorization theorem in [2] fails to generalize to the weighted Bergman L2-space on the disc with weight (α+1)(1−|z|2)αfor α>1; he limit 1 is sharp, because for α=1, it does generalize [3] We also show that a similar factorization theorem fails to hold generally for the ordinary Bergman L2space In multiply connected planar domains.

ISSN:0278-1077    

DOI:10.1080/17476939208814569

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Let E⊂C be a simply connected bounded domain, f a conformal mapping {w:|w|<1)=: D→E. Becker and Pommerenke [2] constructed the examplc of a domain E such that E is not a John domain [4,6], but f satisfies on D a Hölder condition with some exponent α:0<1. In this paper an example of a domain with similar properties for α=1 is constructed.

ISSN:0278-1077    

DOI:10.1080/17476939208814570

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Letpbe analytic in the unit discUand lethbe univalent inUIn addition, let. The author determines conditions on ψ when ψ is one of the following forms:so that.

ISSN:0278-1077    

DOI:10.1080/17476939208814571

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939208814565

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor