𝔖 Bobbio Scriptorium
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Univalent Functions in Hardy Spaces in Terms of

✍ Scribed by Cristóbal González; José Ángel Peláez


Book ID
107627513
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
405 KB
Volume
19
Category
Article
ISSN
1050-6926

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## Abstract Let Φ(__t__) and Ψ(__t__) be the functions having the following representations Φ(__t__) = ∫__a__(__s__)__ds__ and Ψ(__t__) = ∫__b__(__s__) __ds__, where __a__(__s__) is a positive continuous function such that ∫__a__(__s__)/s ds = + ∞ and __b__(__s__) is an increasing function such tha

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Let H 0p, q F ϱ, yϱ -␣ -ϱ denote the space of those polyhark monic functions f of order k on the unit n-ball for which the function r ¬ Ž . ␣ y 1 rq Ž . q Ž . 1yr M f ,r belongs to L 0, 1 . Our main result is that, when k G 2 and p Ž . ␣)y 1, the operator f ¬ Pf, ⌬ f , where Pf is the Poisson integ