17 citations · 29 across the 7 of their papers we have counts for
4 papers · 1 filter
Wavelet decomposition techniques and Hardy inequalities for function spaces on cellular domains
Benjamin Scharf
A rather tricky question is the construction of wavelet bases on domains for suitable function spaces (Sobolev, Besov, Triebel-Lizorkin type). In his monograph from 2008, Triebel p…
Wavelets in function spaces on cellular domains
Benjamin Scharf
Nowadays the theory and application of wavelet decompositions plays an important role not only for the study of function spaces (of Lebesgue, Hardy, Sobolev, Besov, Triebel-Lizorki…
Atomic representations in function spaces and applications to pointwise multipliers and diffeomorphisms, a new approach
Benjamin Scharf
In Chapter 4 of [25] Triebel proved two theorems concerning pointwise multipliers and diffeomorphisms in function spaces of Besov and Triebel-Lizorkin type. In each case he present…
Local means and atoms in vector-valued function spaces
Benjamin Scharf
The first part of this paper deals with the topic of finding equivalent norms and characterizations for vector-valued Besov and Triebel-Lizorkin spaces. We will deduce general crit…