Some Sufficient Conditions for Analytic Functions to Belong to ${\mathcal{Q}}_{K,0}(p,q)$ Space
Xiaoge Meng
Source: Abstr. Appl. Anal. Volume 2008 (2008), 9 pages.
Abstract
This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions $f$ on the unit disk such ${\lim }_{|a|{\rightarrow}1}{\int}_{\!\mathbb{D}} {|{f}^{\prime }(z)|}^{p}{(1-{|z|}^{2})}^{q}K(g(z,a))dA(z)=0.$
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1220969180
Digital Object Identifier: doi:10.1155/2008/404636
Mathematical Reviews number (MathSciNet):
MR2429625
Zentralblatt MATH identifier:
1151.30321
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