EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 58(72), pp. 162--166 (1995)

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Estimate for gradient, BMO and Lindel\" of theorem

M. Mateljevi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: We give sharp inequalities between BMO and Bloch norms for functions defined on a proper subdomain $D$ of $R$. In connection with this we establish a version of Lindelöf theorem for bounded harmonic function (more general for Bloch function). Some application of those results and sufficient and necessary condition for a function to belong BMO and Bloch space are given.

Classification (MSC2000): 31B05

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

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