Title: Mean growth of the derivative of certain classes of analytic functions
Abstract: Abstract In this paper we study the question of characterizing those positive Borel measures μ on the unit disc Δ for which the differentiation operator D defined by Df = f ′ maps the Hardy space H p continuously into the Bergman space B p ( d μ) of all functions f analytic in Δ which belong to L p (Δ, d μ).
Publication Year: 1992
Publication Date: 1992-09-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 9
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