EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 50(64) Preimenovati datoteke, proveriti paginaciju!!!, pp. 123--130 (1991)

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Some inequalities of isoperimetric type concerning analytic and subharmonic functions

M. Mateljevi{\cj} and M. Pavlovi{\cj}

Matematicki fakultet, Beograd, Yugoslavia

Abstract: We prove an inequality between the weighted Bergman and Hardy norm of an analytic function and generalize this to the ratio of two log-subharmonic function. These results may be regarded as a generalization of the classical isoperimetric inequality.

Keywords: Hardy and weighted Bergman spaces, the reproducing kernel, the Riesz decomposition of log-subharmonic function and the isoperimetric inequality

Classification (MSC2000): 30D55; 31B05, 30C40

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition