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math.FA2023★ 1 cited
Properties of local orthonormal systems, Part III: Variation spaces
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
In [Y.~K.~Hu, K.~A.~Kopotun, X.~M.~Yu, Constr. Approx. 2000], the authors have obtained a characterization of best -term piecewise polynomial approximation spaces as real interp…
math.FA2023
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Let be a probability space and let be a binary filtration, i.e. exactly one atom of is divided into two atoms of $\m…
math.FA2023
Properties of local orthonormal systems, Part I: Unconditionality in
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Assume that we are given a filtration on a probability space of the form that each is generated by the partition of one a…