Haarlet analysis of Lipschitz regularity in metric measure spaces

DOI10.1007/S11425-012-4367-1zbMath1261.42047OpenAlexW1993683253MaRDI QIDQ1934463

A. L. Bernardis, Hugo Aimar, Luis Nowak

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: http://cimec.org.ar/ojs/index.php/cmm/article/view/2999

zbMATH Keywords

spaces of homogeneous typeLipschitz spacesHaar basis

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General harmonic expansions, frames (42C15) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (1)

Approximation of solutions of fractional diffusions in compact metric measure spaces

Cites Work

• Equivalence of Haar bases associated with different dyadic systems
• A decomposition into atoms of distributions on spaces of homogeneous type
• Pointwise analysis of Riemann's ``nondifferentiable function
• Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type
• Comparison of Hardy--Littlewood and dyadic maximal functions on spaces of homogeneous type
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
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