Existence and Boundedness of Parametrized Marcinkiewicz Integral with Rough Kernel on Campanato Spaces

DOI10.1017/S0027763000025691zbMath1147.42007OpenAlexW1537623855MaRDI QIDQ5477573

Kôzô Yabuta, Ding, Yong, Qing Ying Xue

Publication date: 5 July 2006

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1142344534

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (2)

Estimates for parametric Marcinkiewicz integrals in BMO and Campanato spaces ⋮ Parameter Marcinkiewicz integral and its commutator on generalized Orlicz-Morrey spaces

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Boundedness of the Littlewood-Paley g-function on \(Lip_{\alpha}(R^ n)\) \((0<\alpha <1)\)
• On Marcinkiewicz integral with homogeneous kernels
• Weak type \((1,1)\) bounds for a class of the Littlewood-Paley operators
• Weighted estimate for a class of Littlewood-Paley operators
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Littlewood-Paley Operators on BMO
• Results on Weighted Norm Inequalities for Multipliers
• A problem on rough parametric Marcinkiewicz functions
• On the existence and boundedness of square function operators on Campanato spaces
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels
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