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math.FA2018
Martingale inequalities for spline sequences
Markus Passenbrunner
We show that D. Lépingle's -inequality \begin{equation*} \Big\| \big( \sum_n \mathbb E[f_n | \mathscr F_{n-1}]^2 \big)^{1/2}\Big\|_1 \leq 2\cdot \Big\| \big( \sum_n f_…
math.FA2018
Projection operators onto spaces of Chebyshev splines
Karen Keryan, Markus Passenbrunner
We prove that the Chebyshev spline orthoprojectors are uniformly bounded on .
math.FA2018
Spline Characterizations of the Radon-Nikodým property
Markus Passenbrunner
We give necessary and sufficient conditions for a Banach space having the Radon-Nikodým property in terms of polynomial spline sequences.