On the $p$-norm of an Integral Operator in the Half Plane

Canadian mathematical bulletin

Congwen Liu¹  Lifang Zhou² 

[1] School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China;Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, People's Republic of China

关键词: Bergman projection;    integral operator;    $L^p$-norm;    the upper half plane;   

DOI  :  10.4153/CMB-2011-186-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We give a partial answer to a conjecture of Dostanić on thedetermination of the norm of a class of integral operators inducedby the weighted Bergman projection in the upper half plane.

【 授权许可】

Unknown