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

Published:2011-11-15
Printed: Sep 2013
• Congwen Liu,
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
• Lifang Zhou,
Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, People's Republic of China
 Format: LaTeX MathJax PDF

## Abstract

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: Bergman projection, integral operator, $L^p$-norm, the upper half plane
 MSC Classifications: 47B38 - Operators on function spaces (general) 47G10 - Integral operators [See also 45P05] 32A36 - Bergman spaces

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