• Corpus ID: 233443905

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

@inproceedings{Koppensteiner2021AnisotropicTS,
  title={Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II},
  author={Sarah Koppensteiner and Jordy Timo van Velthoven and F. Voigtlaender},
  year={2021}
}
. This paper provides maximal function characterizations of anisotropic Triebel-Lizorkin spaces associated to general expansive matrices for the full range of parameters p ∈ (0 , ∞ ), q ∈ (0 , ∞ ] and α ∈ R . The equivalent norm is defined in terms of the decay of wavelet coefficients, quantified by a Peetre-type space over a one-parameter dilation group. As an application, the existence of frames and Riesz sequences of dual molecules is obtained; the atoms are generated by translations and… 

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