On the Forelli-Rudin projection theorem

2013/12/23 by Marijan Marković, Markovic, Marijan
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Primary 45P05 #Secondary 47B38

paper · pdf · doi:10.48550/arxiv.1312.6530

openalex publication_date 2013/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by the Forelli--Rudin projection theorem we give in this paper a criterion for boundedness of an integral operator on weighted Lebesgue spaces in the interval (0,1). We also calculate the precise norm of this integral operator. This is the content of the first part of the paper. In the second part, as applications, we give some results concerning the Bergman projection and the Berezin transform. We derive a generalization of the Dostanić result on the norm of the Berezin transform acting on Lebesgue spaces over the unit ball in Cⁿ.

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