H. Triebel

activity

20162023

collaborators

9 papers

math.FA2023

A note on Hausdorff-Young inequalities in function spaces

Hans Triebel

The classical Hausdorff-Young inequalities for the Fourier transform acting between appropriate $L_{p}$ spaces are cornerstones of Fourier analysis. Here we extend it to weighted spa…

math.FA2022

Quarkonial analysis

Hans Triebel

The spaces $A_{p, q}^{s} (R^{n})$ with $A \in {B, F}$ , $s \in R$ and $0 < p, q \leq \infty$ are usually introduced in terms of Fourier--analytical decompositions. Relate…

math.FA2022

Truncations and compositions in function spaces

Hans Triebel

These notes deal with some recent assertions about truncations $f \mapsto ∣ f ∣$ and compositions $f \mapsto g \circ f$ in the spaces $A_{p, q}^{s} (R^{n})$ , $A \in {B, F}$ .

math.FA2022

Nuclear Fourier transforms

Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel

The paper deals with the problem under which conditions for the parameters $s_{1}, s_{2} \in R$ , $1 \leq p, q_{1}, q_{2} \leq \infty$ the Fourier transform $F$ is a nuclear mapp…

math.FA2022

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…

math.FA2022

Mapping properties of pseudodifferential and Fourier operators

Hans Triebel

The composition of the Fourier transform in $R^{n}$ with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. T…

math.FA2021

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}^…

math.FA2020

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 $F_{p, q}^{s} (R^{n}, w)$ on hyperplanes $R^{n - k}$ , where the weight is of Muckenhoupt type. We concentrate on the…

math.FA2016

Tempered homogeneous function spaces, II

Hans Triebel

This paper deals with homogeneous function spaces of Besov-Sobolev type within the framework of tempered distributions in Euclidean $n$ -space based on Gauss-Weierstrass semi-groups…