Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type

DOI10.1016/j.jfa.2016.05.002zbMath1347.42040arXiv1509.03761OpenAlexW2963811732WikidataQ60514405 ScholiaQ60514405MaRDI QIDQ738911

Anna Kairema, Lesley A. Ward, Ji Li, María Cristina Pereyra

Publication date: 16 August 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03761

zbMATH Keywords

Hardy spacemaximal functionspaces of homogeneous typedoubling weightsBMO spacedyadic product function spacesdyadic structure theoremsHaar basesMuckenhoupt \(A_{p}\) weightsquasi-metric measure spacesreverse Hölder weights

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Analysis on metric spaces (30L99)

Related Items (12)

Three dimensions of metric-measure spaces, Sobolev embeddings and optimal sign transport ⋮ Two weight commutators on spaces of homogeneous type and applications ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ Functions of bounded mean oscillation and quasisymmetric mappings on spaces of homogeneous type ⋮ Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities ⋮ Singular integrals with variable kernels in dyadic settings ⋮ Schatten classes and commutators of Riesz transform on Heisenberg group and applications ⋮ Two weight Sobolev norm inequalities for smooth Calderón-Zygmund operators and doubling weights ⋮ A Two Weight Fractional Singular Integral Theorem with Side Conditions, Energy and k-Energy Dispersed ⋮ Product BMO, little BMO, and Riesz commutators in the Bessel setting ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications

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