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Complex Analysis and Operator Theory

, Volume 13, Issue 3, pp 901–914 | Cite as

The Harmonic Dirichlet–Besov Space and the Optimal Norm for the Bergman Projection

  • Djordjije VujadinovićEmail author
Article
  • 53 Downloads

Abstract

We found the optimal operator-norm constant for the harmonic Bergman projection in the context of harmonic Dirichlet–Besov space regarding the natural semi-norm defined on it. Also, we give the two-side norm estimation when it comes to the complete norm.

Keywords

Harmonic Besov space Harmonic Bergman projection Zonal harmonics Bochner spaces 

Mathematics Subject Classification

Primary 46E20 46E22 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of MontenegroPodgoricaMontenegro

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