Abstract

Applications and findings involving the norm of the weighted Dirichlet space Dα are steadily being discovered. There are notable characterizations of Dα through estimations of its norm. Applications include determining the conditions for boundedness of a Bergman type operator, and characterizing functions in the Drury–Arveson space that induce bounded Hankel operators. This paper improves the norm estimation by extending the domain of relevant parameters, and establishing the asymptotic formula with precise constants.

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