Comparison of Hardy--Littlewood and dyadic maximal functions on spaces of homogeneous type

DOI10.1016/j.jmaa.2005.03.034zbMath1084.42014OpenAlexW2033664892MaRDI QIDQ2573437

A. L. Bernardis, Hugo Aimar, Bibiana Iaffei

Publication date: 22 November 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.03.034

zbMATH Keywords

maximal functionsspace of homogeneous typeCalderón-Zygmund decomposition\(A_p\) weights

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85)

Related Items (11)

Weighted norm inequalities for the maximal singular integral operators on spaces of homogeneous type ⋮ Unnamed Item ⋮ Weighted \(L^p\) estimates on the infinite rooted \(k\)-ary tree ⋮ Wavelet characterizations of the atomic Hardy space \(H^{1}\) on spaces of homogeneous type ⋮ Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type ⋮ Haarlet analysis of Lipschitz regularity in metric measure spaces ⋮ Wolff potentials and regularity of solutions to integral systems on spaces of homogeneous type ⋮ Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type ⋮ Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type ⋮ Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations ⋮ Dyadic nonlocal diffusions in metric measure spaces

Cites Work

• Unnamed Item
• Lipschitz functions on spaces of homogeneous type
• Weighted norm inequalities for martingales
• 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.)
• Weighted Norm Inequalities for the Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type
• Elliptic and Parabolic BMO and Harnack's Inequality
• A Note on Weighted Norm Inequalities for the Hardy-Littlewood Maximal Operator
• Weighted norm inequalities for maximal functions and singular integrals
• Inequalities for the maximal function relative to a metric
• Every complete doubling metric space carries a doubling measure
• Hausdorff dimension and doubling measures on metric spaces
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral

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