By Kehe Zhu
The booklet provides a contemporary thought of holomorphic functionality areas within the open unit ball. areas mentioned contain the Bergman areas, the Hardy areas, the Bloch area, BMOA, the Dirichlet house, the Besov areas, and the Lipschitz areas. such a lot proofs within the ebook are new and easier than the prevailing proofs within the literature. The valuable suggestion in most of these proofs relies on necessary representations of holomorphic services and undemanding homes of the Bergman kernel, the Bergman metric, and the automorphism team.
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