摘要:

In this paper we study removable singularities for Hardy spaces of analytic funtions on general domains. Two different definitions are given. For compact sets they turn out to be equal and moreover independent of the surrounding domain, as was proved by D. A Hejhal For non-compact sets the difference between the definitions is studied.

ISSN:0278-1077    

DOI:10.1080/17476939808815069

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In this paper we generalize Brennan's conjecture to the setting where we consider quasi conformal mappings ø from a simply connected domainDto the unit disk. Examples are given to demonstrate that the range of exponentspfor whichis sharp.

ISSN:0278-1077    

DOI:10.1080/17476939808815070

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

We consider singular integral operators with Clifford algebra valued characteristic

ISSN:0278-1077    

DOI:10.1080/17476939808815071

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

LetJbe a holomorphic mapping whereis a domain with real analytic boundary ∂Ω such that. SupposeJmaps ∂Ω into an algebraically normal real hypersurface ∑ By closely following the argument of Boauendi and Rotschild |2. 4| we prove the following results. Theorem 1: Ifis rigid andJis nondegenerate at point. thenJextends holomorphically to a full neighbourhood of ρ. Theorem 2: If ∂Ω and ∑ are of infinite type andJnot completely degenerate, thenJextends holomorphically to a full neighborhood of ρ

ISSN:0278-1077    

DOI:10.1080/17476939808815072

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

Using Sibony's example, we get a counterexample to theLρ(2<p<∞)extension of

ISSN:0278-1077    

DOI:10.1080/17476939808815073

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939808815068

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor