The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces

DOI10.1186/S13660-015-0783-4zbMath1334.42038OpenAlexW1945537500WikidataQ59434493 ScholiaQ59434493MaRDI QIDQ260447

Yonghui Cao, Jiang Zhou

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0783-4

zbMATH Keywords

commutatorsLebesgue spacesMarcinkiewicz integralsnon-homogeneous metric measure spacesRBMO functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Commutators, derivations, elementary operators, etc. (47B47) Analysis on metric spaces (30L99)

Related Items (6)

FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS SPACES ⋮ Boundedness for commutators of bilinear \(\theta\)-type Calderón-Zygmund operators on nonhomogeneous metric measure spaces ⋮ Fractional type Marcinkiewicz integral operator associated with \(\Theta\)-type generalized fractional kernel and its commutator on non-homogeneous spaces ⋮ Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces ⋮ Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces ⋮ Weighted weak estimate for commutators of fractional type parametric Marcinkiewicz integrals over non-homogeneous metric spaces

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