Weighted weak type estimates for commutators of the Marcinkiewicz integrals

zbMath1217.42029MaRDI QIDQ551718

Pu Zhang, Lu, Shanzhen, Ding, Yong

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Marcinkiewicz integralcommutatorweak type estimate\(A _{p}\) weight

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Related Items (16)

Boundedness of Marcinkiewicz integrals and their commutators in \(H^{1} (\mathbb R^{n} \times \mathbb R^{m})\) ⋮ Weighted endpoint estimates for commutators of Marcinkiewicz integrals ⋮ The commutators of Marcinkiewicz integral operators on weighted Hardy spaces ⋮ Marcinkiewicz integral with rough kernels ⋮ Operators on mixed-norm amalgam spaces via extrapolation ⋮ The fractional type Marcinkiewicz integrals and commutators on weighted Hardy spaces ⋮ Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces ⋮ Marcinkiewicz integral operators and commutators on Herz spaces with variable exponents ⋮ Weighted estimates for multilinear commutators of Marcinkiewicz integrals with bounded kernel ⋮ Weak type \((H^1,L^1)\) estimate for commutator of Marcinkiewicz integral ⋮ Weighted estimates for multilinear commutators of Marcinkiewicz integral ⋮ On multilinear commutators of Marcinkiewicz integrals in variable exponent Lebesgue and Herz type spaces ⋮ The boundedness of commutators of multilinear Marcinkiewicz integral ⋮ Weighted boundedness of parametric Marcinkiewicz integral and higher order commutator ⋮ Boundedness of Marcinkiewicz integrals on RBMO spaces over nonhomogeneous metric measure spaces ⋮ The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces

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