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- W3158997794 abstract "This paper provides maximal function characterizations of anisotropic Triebel-Lizorkin spaces associated to general expansive matrices for the full range of parameters $p in (0,infty)$, $q in (0,infty]$ and $alpha in mathbb{R}$. 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. For the Banach space regime $p,q geq 1$, we use this characterization to prove the existence of frames and Riesz sequences of dual molecules for the Triebel-Lizorkin spaces; the atoms are obtained by translations and anisotropic dilations of a single function, where neither the translation nor dilation parameters are required to belong to a discrete subgroup. Explicit criteria for molecules are given in terms of smoothness, decay and moment conditions." @default.
- W3158997794 created "2021-05-10" @default.
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- W3158997794 date "2021-04-29" @default.
- W3158997794 modified "2023-09-27" @default.
- W3158997794 title "Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups." @default.
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