# Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings

@article{Bonk2014TriebelLizorkinSO,
title={Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings},
author={M. Bonk and E. Saksman and Tom'as Soto},
journal={arXiv: Classical Analysis and ODEs},
year={2014}
}
• Published 2014
• Mathematics
• arXiv: Classical Analysis and ODEs
We give a new characterization of (homogeneous) Triebel-Lizorkin spaces $\dot{\mathcal F}^{s}_{p,q}(Z)$ in the smoothness range $0 1$. We also obtain first results on complex interpolation for these spaces in the framework of doubling metric measure spaces.
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