Isometries of a Bergman-Privalov-Type Space on the Unit Ball

We introduce a new space ANlog⁡,α(&#x1D539;) consisting of all holomorphic functions on the unit ball &#x1D539;⊂ℂn such that ‖f‖ANlog⁡,α:=∫&#x1D539;φe(ln⁡(1+|f(z)|))dVα(z)<∞, where α>−1, dVα(z)=cα,n(1−|z|2)αdV(z) (dV(z) is the normalized Lebesgue volume measure on &#x1D539;, an...

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Bibliographic Details
Main Authors: Stevo Stević, Sei-Ichiro Ueki
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/725860