Geodesic
Some Inequalities of Isoperimetric Type Concerning Analytic and Subharmonic Functions
Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 123 .

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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.
Classification : 30D55 31B05 30C40
Keywords: Hardy and weighted Bergman spaces, the reproducing kernel, the Riesz decomposition of log-subharmonic function and the isoperimetric inequality 
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     author = {Miodrag Mateljevi\'c and Miroslav Pavlovi\'c},
     title = {Some {Inequalities} of {Isoperimetric} {Type} {Concerning} {Analytic} and {Subharmonic} {Functions}},
     journal = {Publications de l'Institut Math\'ematique},
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Miodrag Mateljević; Miroslav Pavlović. Some Inequalities of Isoperimetric Type Concerning Analytic and Subharmonic Functions. Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 123 . http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a14/