Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 44, 2019, 211-220

NORM OF THE BERGMAN PROJECTION ONTO THE BLOCH SPACE WITH M-INVARIANT GRADIENT NORM

Petar Melentijevic

University of Belgrade, Faculty of Mathematics
Studentski trg 16; 11000 Beograd, Serbia; petarmel 'at' matf.bg.ac.rs

Abstract. The operator norm of Bergman projections P_α from L^∞(Bⁿ) to the Bloch space was found in [4]. In the same paper the authors made a conjecture on the norms of P_α with respect to M-invariant gradient norm. In this paper we prove their conjecture.

2010 Mathematics Subject Classification: Primary 47B35.

Key words: Bergman projection, operator norm, Bloch space, M-invariant gradient.

Reference to this article: P. Melentijevic: Norm of the Bergman projection onto the Bloch space with M-invariant gradient norm. Ann. Acad. Sci. Fenn. Math. 44 (2019), 211-220.

Full document as PDF file

https://doi.org/10.5186/aasfm.2019.4408