activity
19922025
most citedp-Summing Multiplication Operators, dyadic Hardy Spaces and atomic Decomposition

4 citations · 6 across the 15 of their papers we have counts for

collaborators

16 papers

math.CV2025

Greenś Mapping and Julia Sets

Ilia Binder, Paul F. X. Müller, Peter Yuditskii

In March 1999, the first named author (Binder) posed the problem of showing that a ``good direction'' exists, for any Green's mapping , i.e., \…

math.AP2025

Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains

Jakob Fromherz, Paul F. X. Müller, Katharina Riegler

We provide radial variational estimates for positive harmonic functions on Lipschitz domains in higher dimensions. The intention of this paper is to document an updated and refined…

math.FA2023

Multipliers on bi-parameter Haar system Hardy spaces

Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1

Let denote the standard Haar system on , indexed by , the set of dyadic intervals and denote the tensor product $(s,t)\mapsto h_I(s…

math.FA2021

The space is primary for

Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1

The classical Banach space consists of measurable scalar functions on the unit square for which $$\|f\| = \int_0^1\Big(\int_0^1 |f(x,y)|^p dy\Big)^{1/p}dx < \infty.$…

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.