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

Published online by Cambridge University Press:  20 November 2018

Congwen Liu  and
Lifang Zhou
Congwen Liu
Affiliation:
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China e-mail: cwliu@ustc.edu.cn Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences e-mail: e-mail: lfzhou@mail.ustc.edu.cn
Lifang Zhou
Affiliation:
Department ofMathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, People’s Republic of China
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Abstract.

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

Keywords

47B3847G1032A36Bergman projectionintegral operatorLp-normthe upper half plane

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 593 - 601
Copyright
Copyright © Canadian Mathematical Society 2013

References

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