Inner Functions, M\"obius Distortion and Angular Derivatives
classification
🧮 math.CV
math.CA
keywords
innerdistortionentropyfinitefunctionsmathcalobiussingular
read the original abstract
We prove that an inner function has finite $\mathcal{L} (p)$-entropy if and only if its accumulated M\"obius distortion is in $L^p$, $0<p<\infty$. We also study the support of the positive singular measures such that their corresponding singular inner functions have finite $\mathcal{L} (p)$-entropy.
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