3 papers
math.FA2024
Quarklet Characterizations for bivariate Bessel-Potential Spaces on the Unit Square via Tensor Products
Marc Hovemann
In this paper we deduce new characterizations for bivariate Bessel-Potential spaces defined on the unit square via B-spline quarklets. For that purpose in a first step we use univa…
math.NA2023
Adaptive Quarklet Tree Approximation
Stephan Dahlke, Marc Hovemann, Thorsten Raasch +1
This paper is concerned with near-optimal approximation of a given function with elements of a polynomially enriched wavelet frame, a so-called quarklet frame. I…
math.FA2021
Quarklet Characterizations for Triebel-Lizorkin Spaces
Marc Hovemann, Stephan Dahlke
In this paper we prove that under some conditions on the parameters the one-dimensional Triebel-Lizorkin spaces can be described in terms of quarklets.…