Estimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous type

DOI10.1016/j.na.2009.11.019zbMath1183.42019OpenAlexW1977051748MaRDI QIDQ845008

Eiichi Nakai, Yan Meng, Da Chun Yang

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.019

zbMATH Keywords

spaces of homogeneous typeCampanato spacesLusin-area functionLittlewood-Paley \(g_\lambda^*\) function

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)

Related Items (5)

Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces ⋮ Boundedness of Lusin-area and functions on localized BMO spaces over doubling metric measure spaces ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Strong- and weak-type estimate for Littlewood-Paley operators associated with Laplace-Bessel differential operator ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces

Cites Work

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• ESTIMATES FOR MARCINKIEWICZ INTEGRALS IN BMO AND CAMPANATO SPACES

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