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math.FA2020
Hyper contractivity on the unit circle for ultraspherical measures: linear case
Paata Ivanisvili, Alexander Lindenberger, Paul F. X. Müller +1
In this paper we extend complex uniform convexity estimates for to and determine best constants. Furthermore we provide the link to log-Sobolev inequal…
math.CA2020
Radial Variation of Positive Harmonic Functions on Lipschitz Domains
Paul F. X. Müller, Katharina Riegler
In this paper we present the necessary modifications of the proof by Mozolyako and Havin in to work for Lipschitz domains instead of domains.