Annales Academię Scientiarum Fennicę
Mathematica
Volumen 33, 2008, 87-99

NEW CHARACTERIZATIONS OF BERGMAN SPACES

Miroslav Pavlovic and Kehe Zhu

Univerzitet u Beogradu, Matematicki Fakultet
Studentski Trg 16, 11001 Belgrade, P.P. 550, Serbia; pavlovic 'at' matf.bg.ac.yu

SUNY, Department of Mathematics
Albany, NY 12222, U.S.A.; kzhu 'at' math.albany.edu

Abstract. We obtain several new characterizations for the standard weighted Bergman spaces A^p_\alpha on the unit ball of Cⁿ in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

2000 Mathematics Subject Classification: Primary 32A36; Secondary 46E20.

Key words: Bergman spaces, radial derivative, gradient, invariant gradient.

Reference to this article: M. Pavlovic and K. Zhu: New characterizations of Bergman spaces. Ann. Acad. Sci. Fenn. Math. 33 (2008), 87-99.

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