An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces

DOI10.15352/bjma/1342210167zbMath1252.42025arXiv1201.6097OpenAlexW1994448831MaRDI QIDQ437732

Haibo Lin, Dong Yong Yang

Publication date: 18 July 2012

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

Full work available at URL: https://arxiv.org/abs/1201.6097

zbMATH Keywords

interpolationHardy spacemetric measure spacesublinear operatorgeometric doublingnon-homogeneous spaceregularized BMOupper doubling

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items (10)

Boundedness of certain commutators over non-homogeneous metric measure spaces ⋮ Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces ⋮ Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces ⋮ Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces ⋮ Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮ Multilinear strongly singular integral operators on non-homogeneous metric measure spaces ⋮ Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces ⋮ Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces ⋮ Morrey spaces for nonhomogeneous metric measure spaces ⋮ Hardy spaces \(H^p\) over non-homogeneous metric measure spaces and their applications

Cites Work

• Spaces of type BLO on non-homogeneous metric measure
• Boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces: equivalent characterizations
• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• BMO for nondoubling measures
• Lectures on analysis on metric spaces
• Painlevé's problem and the semiadditivity of analytic capacity.
• The \(Tb\)-theorem on non-homogeneous spaces.
• Non-homogeneous \(Tb\) theorem and random dyadic cubes on metric measure spaces
• Hardy spaces, regularized BMO spaces and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
• 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.)
• The Hardy space H¹ on non-homogeneous metric spaces
• Another Characterization of BMO
• Extensions of Hardy spaces and their use in analysis
• Sobolev met Poincaré
• A new characterization of regularized BMO spaces on non-homogeneous spaces and its applications
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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