5 papers
Nuclear Fourier transforms
Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel
The paper deals with the problem under which conditions for the parameters , the Fourier transform is a nuclear mapp…
Mapping properties of Fourier transforms, II
Hans Triebel
This is the direct continuation of the paper "Mapping properties of Fourier transforms" (arXiv:2112.04896) using the same notation as there without further explanations. It deals w…
Mapping properties of pseudodifferential and Fourier operators
Hans Triebel
The composition of the Fourier transform in with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. T…
Morrey smoothness spaces: A new approach
Dorothee D. Haroske, Hans Triebel
In the recent years so-called Morrey smoothness spaces attracted a lot of interest. They can (also) be understood as generalisations of the classical spaces $A^s_{p,q} (\mathbb{R}^…
Traces of some weighted function spaces and related non-standard real interpolation of Besov spaces
Blanca F. Besoy, Dorothee D. Haroske, Hans Triebel
We study traces of weighted Triebel-Lizorkin spaces on hyperplanes , where the weight is of Muckenhoupt type. We concentrate on the…