Discrete approximation of spaces of homogeneous type

DOI10.1007/s12220-008-9048-5zbMath1178.28002OpenAlexW2003560990MaRDI QIDQ1032601

Bibiana Iaffei, Hugo Aimar, Marilina Carena

Publication date: 26 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12220-008-9048-5

zbMATH Keywords

doubling measurespace of homogeneous typequasi-metric space

Mathematics Subject Classification ID

Spaces of measures, convergence of measures (28A33) Convergence of probability measures (60B10)

Related Items (4)

Boundedness of the Hardy-Littlewood maximal operator along the orbits of contractive similitudes ⋮ Completeness of Muckenhoupt classes ⋮ Gradual doubling property of Hutchinson orbits ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

Cites Work

• Lipschitz functions on spaces of homogeneous type
• A decomposition into atoms of distributions on spaces of homogeneous type
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Hausdorff dimension and doubling measures on metric spaces
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Doubling Properties of Self-similar Measures
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