首页   按字顺浏览 期刊浏览 卷期浏览 On a coefficient problem for nonvanishingHpfunctions
On a coefficient problem for nonvanishingHpfunctions

 

作者: Johnny E. Brown,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1985）
卷期: Volume 4, issue 3  

页码: 253-265

 

ISSN:0278-1077

 

年代: 1985

 

DOI:10.1080/17476938508814110

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30D55;30D50

 

数据来源: Taylor

 

摘要:

It has been conjectured by Hummel, Scheinberg and Zalcman that iff(z) ≈a0+a1z+a2z2+ … is a nonvanishingHpfunction withthenfor alln⪖ 1 and 1 <p< ∞ where 1/p+ 1/q= 1. Using the Pontryagin Maximum Principle we solve a related extremal problem which proves the conjecture in the casen= 1 and in the case of arbitraryn⪖ 2 providedam= 0 for 1 ⩽m< (n1)/2.

 

点击下载:  PDF (545KB)



返 回