Annales Academię Scientiarum Fennicę
Mathematica
Volumen 37, 2012, 3-18

THE BEURLING OPERATOR FOR THE HYPERBOLIC PLANE

Håkan Hedenmalm

The Royal Institute of Technology, Department of Mathematics
S-100 44 Stockholm, Sweden; haakanh 'at' math.kth.se

Abstract. We find a Beurling operator for the hyperbolic plane, and obtain an L² norm identity for it, as well as two-sided L^p estimates.

2010 Mathematics Subject Classification: Primary 30E20, 42B20.

Key words: Beurling operator, isometry, norm estimates, hyperbolic plane.

Reference to this article: H. Hedenmalm: The Beurling operator for the hyperbolic plane. Ann. Acad. Sci. Fenn. Math. 37 (2012), 3-18.

Full document as PDF file

doi:10.5186/aasfm.2012.3708

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