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Marcinkiewicz Commutators with Lipschitz Functions in Non-homogeneous Spaces

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Publication:2909649
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DOI10.4153/CMB-2011-139-1zbMath1266.42051MaRDI QIDQ2909649

Jiang Zhou, Bo Lin Ma

Publication date: 6 September 2012

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


zbMATH Keywords

Marcinkiewicz integralcommutatornon doubling measureLip\(_{\beta}(\mu), H^1(\mu)\)


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Commutators, derivations, elementary operators, etc. (47B47)


Related Items

Fractional type Marcinkiewicz integral operator associated with \(\Theta\)-type generalized fractional kernel and its commutator on non-homogeneous spaces, Boundedness of commutators of fractional Marcinkiewicz integral under non-doubling measures, Boundedness of commutators of Marcinkiewicz integrals on nonhomogeneous metric measure spaces, Morrey spaces for nonhomogeneous metric measure spaces



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