Anisotropic Triebel–Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I

S Koppensteiner, JT Van Velthoven… - Monatshefte für …, 2023‏ - Springer
This paper provides maximal function characterizations of anisotropic Triebel–Lizorkin
spaces associated to general expansive matrices for the full range of parameters p∈(0,∞) …

Quasi-Banach modulation spaces and localization operators on locally compact abelian groups

F Bastianoni, E Cordero - Banach Journal of Mathematical Analysis, 2022‏ - Springer
We introduce new quasi-Banach modulation spaces on locally compact abelian groups
which coincide with the classical ones in the Banach setting and prove their main properties …

Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II

S Koppensteiner, JT Van Velthoven… - Monatshefte für …, 2023‏ - Springer
Continuing previous work, this paper provides maximal characterizations of anisotropic
Triebel-Lizorkin spaces F˙ p, q α for the endpoint case of p=∞ and the full scale of …

[PDF][PDF] Properties of eigenfunctions of localization operators on modulation spaces

F Bastianoni - 2023‏ - iris.unito.it
The main aim of this thesis work is threefold: to study of localization operators Aψ1, ψ2 a,
with a particular focus on decay and smoothness properties of their L2-eigenfunctions [3, 8 …

Convolution-Dominated Matrices in Groups of Polynomial Growth

C Kitsios - 2022‏ - repository.tudelft.nl
In this thesis, we use a variation of a commutator technique to prove that l^ p-stability is
independent of p, for p greater than or equal to one, and for convolution-dominated matrices …