Area integral means over the annuli

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:473

Article

Wang, Chunjie¹  Yang, Wenjie¹ 

[1] Hebei Univ Technol, Dept Math, Tianjin 300401, Peoples R China

关键词: Logarithmic convexity;    Area integral means;    Bergman spaces;    Hardy spaces;   

DOI  :  10.1016/j.jmaa.2018.12.064

来源: Elsevier

【 摘 要 】

For 0 < p < +infinity, and an analytic function f in the unit disk D we show that the L-P integral mean of f on c <= vertical bar z vertical bar <= r or r <= vertical bar z vertical bar <= c with respect to the weighted area measure vertical bar z vertical bar(2 beta) (1 - vertical bar z vertical bar(2))(alpha) dA(z) is a logarithmically convex function of r if alpha, beta, c satisfy certain conditions. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free