Logarithmic Convexity of Area Integral Means for Analytic Functions
نویسندگان
چکیده
We show that the L integral mean on rD of an analytic function in the unit disk D with respect to the weighted area measure (1 − |z|) dA(z), where −3 ≤ α ≤ 0, is a logarithmically convex function of r on (0, 1). We also show that the range [−3, 0] for α is best possible.
منابع مشابه
Logarithmic Convexity of Area Integral Means for Analytic Functions Ii
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