Geometric characterizations of embedding theorems: for Sobolev, Besov, and Triebel-Lizorkin spaces on spaces of homogeneous type -- via orthonormal wavelets

DOI10.1007/s12220-020-00536-6zbMath1491.46026OpenAlexW3094090027MaRDI QIDQ2050705

Ji Li, María Cristina Pereyra, Ziyi He, Yongsheng Han, Yanchang Han

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00536-6

zbMATH Keywords

Sobolev spaceBesov spaceembeddingdistributionsorthonormal waveletspaces of homogeneous typeTriebel-Lizorkin spacetest function space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Harmonic analysis on homogeneous spaces (43A85) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (7)

Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type ⋮ Boundedness of paraproducts on spaces of homogeneous type I ⋮ Difference characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type ⋮ Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type ⋮ Lipschitz and Triebel-Lizorkin spaces, commutators in Dunkl setting ⋮ A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

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