Estimates for fractional type Marcinkiewicz integrals with non-doubling measures

DOI10.1186/1029-242X-2014-285zbMath1323.42015OpenAlexW2135128229WikidataQ59321256 ScholiaQ59321256MaRDI QIDQ2263360

Jiang Zhou, Guanghui Lu

Publication date: 18 March 2015

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-285

zbMATH Keywords

Hardy spaceLebesgue spacenon-doubling measureRBMO spacefractional Marcinkiewicz integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (5)

Fractional type Marcinkiewicz integrals over non-homogeneous 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 ⋮ Some estimates for commutators of Littlewood-Paley \(g\)-functions ⋮ Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces

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