3 papers
math.FA2024
Spectral theory for fractal pseudodifferential operators
Hans Triebel
The paper deals with the distribution of eigenvalues of the compact fractal pseudodifferential operator , \[ \big( T^μ_τf\big)(x) = \int_{\mathbb{R}^n} e^{-ixξ} \, τ(x,ξ) \,…
math.AP2024
Fractional nonlinear heat equations and characterizations of some function spaces in terms of fractional Gauss-Weierstrass semi-groups
Franka Baaske, Hans-Jürgen Schmeißer, Hans Triebel
We present a new proof of the caloric smoothing related to the fractional Gauss-Weierstrass semi-group in Triebel-Lizorkin spaces. This property will be used to prove existence and…
math.FA2023
Mapping properties of Fourier transforms, revisited
Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel
The paper deals with continuous and compact mappings generated by the Fourier transform between distinguished Besov spaces , $1\le p…