Composition operators induced by functions with supremum strictly smaller than 1
Composition operators induced by functions with supremum strictly smaller than 1
We give some partial solutions to the following problem. Does a function analytic in the unit disc <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper D"> <mml:semantics> <mml:mi>D</mml:mi> <mml:annotation encoding="application/x-tex">D</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with supremum strictly smaller than 1 , induce a bounded composition operator on all weighted Hardy spaces <inline-formula content-type="math/mathml"> <mml:math …