H. Triebel

activity

20162023

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5 papers · 1 filter

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…