The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces

DOI10.4153/S0008439519000729zbMath1453.46039WikidataQ126594021 ScholiaQ126594021MaRDI QIDQ5118451

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Publication date: 8 September 2020

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

John-Nirenberg inequalitynon-homogeneous metric measure spaceRBLO space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Abstract harmonic analysis (43A99) Set functions, measures and integrals with values in abstract spaces (28B99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (3)

Estimates for bilinear \(\theta \)-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces ⋮ Unnamed Item ⋮ Boundedness of commutators of \(\theta\)-type Calderón-Zygmund operators on generalized weighted Morrey spaces over RD-spaces

Cites Work

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• Spaces of type BLO on non-homogeneous metric measure
• Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces
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• Lectures on analysis on metric spaces
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• The molecular characterization of the Hardy space \(H^1\) on non-homogeneous metric measure spaces and its application
• The Hardy space \(H^1\) with non-doubling measures and their applications
• 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
• On functions of bounded mean oscillation
• Another Characterization of BMO
• Extensions of Hardy spaces and their use in analysis
• Spaces of type BLO for non-doubling measures
• Some characterizations of BLO space
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures

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