Gel′fer functions, integral means, bounded mean oscillation, and univalency
Gel′fer functions, integral means, bounded mean oscillation, and univalency
A Gelfer function <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f"> <mml:semantics> <mml:mi>f</mml:mi> <mml:annotation encoding="application/x-tex">f</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a holomorphic function in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper D equals left-brace StartAbsoluteValue z EndAbsoluteValue greater-than 1 right-brace"> <mml:semantics> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>=</mml:mo> <mml:mo fence="false" stretchy="false">{</mml:mo> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>z</mml:mi> <mml:mo>|</mml:mo> </mml:mrow> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> <mml:mo fence="false" …