An equivalence for weighted integrals of an analytic function and ist derivative | Zendy

Pavlović Miroslav | Zendy; Peláez José Ángel | Zendy

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An equivalence for weighted integrals of an analytic function and ist derivative

Author(s) -

Pavlović Miroslav,

Peláez José Ángel

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510701

Subject(s) - mathematics , equivalence (formal languages) , differentiable function , pure mathematics , derivative (finance) , analytic function , mathematical analysis , economics , financial economics

In this paper we introduce the class of differentiable weights ω in the unit disc such thatwhere L is a positive constant. The main result in this paper asserts that if ω is one of these weights, then the equivalenceholds for all 0 < p < ∞, 0 < q ≤ ∞and f an analytic function in . Our results improve others due to Aleman, Siskakis, and Stević. We also prove two results on harmonic conjugate functions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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