## Abstract and Applied Analysis

### Some Sufficient Conditions for Analytic Functions to Belong to ${\mathcal{Q}}_{K,0}(p,q)$ Space

Xiaoge Meng

#### 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 ${\lim }_{|a|{\rightarrow}1}{\int}_{\!\mathbb{D}} {|{f}^{\prime }(z)|}^{p}{(1-{|z|}^{2})}^{q}K(g(z,a))dA(z)=0.$

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 404636, 9 pages.

Dates
First available in Project Euclid: 9 September 2008

https://projecteuclid.org/euclid.aaa/1220969180

Digital Object Identifier
doi:10.1155/2008/404636

Mathematical Reviews number (MathSciNet)
MR2429625

Zentralblatt MATH identifier
1151.30321

#### Citation

Meng, Xiaoge. Some Sufficient Conditions for Analytic Functions to Belong to ${\mathcal{Q}}_{K,0}(p,q)$ Space. Abstr. Appl. Anal. 2008 (2008), Article ID 404636, 9 pages. doi:10.1155/2008/404636. https://projecteuclid.org/euclid.aaa/1220969180

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