M. Passenbrunner

activity

20102023

most citedUnconditionality of orthogonal spline systems in

L^{p}

18 citations · 38 across the 22 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

math.FA2013★ 1 cited

Adaptive deterministic dyadic grids on spaces of homogeneous type

Richard Lechner, Markus Passenbrunner

In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method…

math.FA2013

On almost everywhere convergence of tensor product spline projections

Markus Passenbrunner, Joscha Prochno

Let $d \in N$ and $f$ be a function in the Orlicz class $L (lo g^{+} L)^{d - 1}$ defined on the unit cube $[0, 1]^{d}$ in $R^{d}$ . Given partitions $Δ_{1}, \dots,$ $Δ_{d}$ of $[0,1…

math.FA2013★ 18 cited

Unconditionality of orthogonal spline systems in $L^{p}$

Markus Passenbrunner

Given any natural number $k$ and any dense point sequence $(t_{n})$ , we prove that the corresponding orthonormal spline system of order $k$ is an unconditional basis in reflexive $L^…

math.FA2013★ 4 cited

On the Distribution of Random variables corresponding to Musielak-Orlicz norms

David Alonso-Gutierrez, Soeren Christensen, Markus Passenbrunner +1

Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_{1}, ..., X_{n}$ are independen…

Adaptive deterministic dyadic grids on spaces of homogeneous type

On almost everywhere convergence of tensor product spline projections

Unconditionality of orthogonal spline systems in Lp

On the Distribution of Random variables corresponding to Musielak-Orlicz norms

Unconditionality of orthogonal spline systems in $L^{p}$