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The -weighted Besov spaces of holomorphic functions on the unit ball in are introduced as follows. Given a function of regular variation and , a function holomorphic in is said to belong to the Besov space if
where is the volume measure on and stands for the fractional derivative of . The holomorphic Besov space is described in the terms of the corresponding space. Some projection theorems and theorems on existence of the inversions of these projections are proved. Also,...
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