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

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