Difference characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type
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Publication:2674043
DOI10.1007/s40304-021-00243-wzbMath1505.46036arXiv2103.02390OpenAlexW3197640935MaRDI QIDQ2674043
Wen Yuan, Ziyi He, Fan Wang, Da Chun Yang
Publication date: 22 September 2022
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.02390
Besov spacespace of homogeneous typedifferenceTriebel-Lizorkin spaceCalderón reproducing formulaLipschitz-type space
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
Related Items
Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type, Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces, 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, Weighted variational inequalities for singular integrals on spaces of homogeneous type, Wavelet characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and its applications, A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type, Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to Littlewood-Paley function characterizations, Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications
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