Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 33, 2008, 303-313

DISTANCES FROM BLOCH FUNCTIONS TO SOME MÖBIUS INVARIANT SPACES

Ruhan Zhao

SUNY-Brockport, Department of Mathematics
Brockport, NY 14420, U.S.A.; rzhao 'at' brockport.edu

Abstract. Distance formulas from Bloch functions to some Möbius invariant function spaces are given. These results generalize the distance formula from Bloch functions to BMOA by Peter Jones. As consequences, we have characterized the closures of these Möbius invariant function spaces in the Bloch space.

2000 Mathematics Subject Classification: Primary 30D45.

Key words: Bloch functions, F(p,q,s) spaces, Q_p spaces, Carleson measures, distance.

Reference to this article: R. Zhao: Distances from Bloch functions to some Möbius invariant spaces. Ann. Acad. Sci. Fenn. Math. 33 (2008), 303-313.

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