ESSENTIAL NORM ESTIMATE OF A COMPOSITION OPERATOR BETWEEN BLOCH-TYPE SPACES IN THE UNIT BALL

Let Bn be the unit ball of Cn and φ = (φ1, . . . , φn) a holomorphic self-map of Bn. Let p, q > 0, be an estimate of the essential norm of a bounded composition operator Cφ induced by φ between the p-Bloch space βp(Bn) and q-Bloch space βq(Bn) given in this paper, as well as the corresponding res...

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Veröffentlicht in:	The Rocky Mountain journal of mathematics 2012-01, Vol.42 (3), p.1049-1071
Hauptverfasser:	ZENG, HONG-GANG, ZHOU, ZE-HUA
Format:	Artikel
Sprache:	eng
Schlagworte:	26A16 32A16 32A26 32A30 32A37 32A38 32H02 47B33 47B38 Analytic functions Bloch-type space boundedness compactness Complex variables Composition operator Essential norm Mathematical functions Polynomials several complex variables Topological compactness Unit ball
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