4 papers
math.FA2022
Martingale Type, the Gamlen-Gaudet Construction and a Greedy Algorithm
Krystian Kazaniecki, Paul F. X. Müller
In the present paper we identify those filtered probability spaces that determine already the martingale type of a…
math.FA2017
Almost everywhere Convergence of Spline Sequences
Paul F. X. Müller, Markus Passenbrunner
We prove the analogue of the Martingale Convergence Theorem for polynomial spline sequences. Given a natural number and a sequence of knots in with multiplicit…
math.FA2016
Conditional Square Functions, the Sine-Cosine Decomposition for Hardy Martingales and Dyadic Perturbation
Paul F. X. Müller
We prove that the norm estimate between a Hardy martingale and its cosine part are stable under dyadic perturbations, and show how dyadic stability of the norm es…
math.FA2016
Interpolation for Hardy Spaces: Marcinkiewicz decomposition, Complex Interpolation and Holomorphic Martingales
Paul F. X. Müller, Peter Yuditskii
The real and complex interpolation spaces for the classical Hardy spaces and were determined in 1983 by P.W. Jones. Due to the analytic constraints the associated…