Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On Lipschitz and α-Bloch spaces on the unit polydisc
Journal: Studia Scientiarum Mathematicarum Hungarica
Volume: 45
Issue: 3
First page: 361
Last page: 378
Issue Date: 1-Sep-2008
Rank: M23
ISSN: 0081-6906
DOI: 10.1556/SScMath.2008.1056
Abstract: 
In this paper we show that if (0, 1), the holomorphic Lipschitz space Lalpha;( ) on the unit polydisc is equivalent to the 1 - -Bloch space , as well as to the space consisting of all holomorphic functions f on , continuous on the closure of and satisfying the following condition where e i is an abbreviation for ( ). Moreover, we show that the corresponding norms , and , on these spaces are comparable, that is, there are positive constants C 1, C 2 and C 3 depending only on and n such that for every f holomorphic on .
Keywords: Analytic function | Bloch space | Lipschitz type space | Polydisc
Publisher: AKJournals

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