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Inequalities for the integral means of holomorphic functions and their derivatives in the unit ball of ๐‚โฟ

Inequalities for the integral means of holomorphic functions and their derivatives in the unit ball of ๐‚โฟ

In this paper, the following two inequalities are proved: <disp-formula content-type="math/mathml"> \[ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="integral Subscript 0 Superscript 1 Baseline left-parenthesis 1 minus r right-parenthesis Superscript a StartAbsoluteValue alpha EndAbsoluteValue plus b Baseline upper M Subscript p Superscript a Baseline left-parenthesis r comma upper D Superscript alpha Baseline f right-parenthesis โ€ฆ