LOGARITHMIC CONVEXITY OF AREA INTEGRAL MEANS FOR ANALYTIC FUNCTIONS II
2014 ◽
Vol 98
(1)
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pp. 117-128
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AbstractFor$0<p<\infty$and$-2\leq {\it\alpha}\leq 0$we show that the$L^{p}$integral mean on$r\mathbb{D}$of an analytic function in the unit disk$\mathbb{D}$with respect to the weighted area measure$(1-|z|^{2})^{{\it\alpha}}\,dA(z)$is a logarithmically convex function of$r$on$(0,1)$.
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2018 ◽
Vol 61
(3)
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pp. 509-517
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2006 ◽
Vol 2006
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pp. 1-6
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2015 ◽
Vol 99
(3)
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pp. 315-333
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2016 ◽
Vol 24
(1)
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pp. 353-369
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