Weighted estimates for the multilinear commutators of the Littlewood-Paley operators

DOI10.1007/S11425-009-0049-ZzbMath1177.42017OpenAlexW2067090656MaRDI QIDQ1044273

Qing Ying Xue, Ding, Yong

Publication date: 11 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11425-009-0049-z

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Related Items (12)

On the sharp-weighted norm estimate for the commutator of Littlewood-Paley operators ⋮ Littlewood-Paley operators on spaces with variable exponent on homogeneous groups ⋮ Operators on mixed-norm amalgam spaces via extrapolation ⋮ On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function ⋮ Weak and strong type weighted estimates for multilinear Calderón-Zygmund operators ⋮ Parameterized Littlewood--Paley operators and their commutators on Herz spaces with variable exponents ⋮ Bi-parameter Littlewood-Paley operators with upper doubling measures ⋮ On multilinear Littlewood-Paley operators ⋮ Weighted end-point weak type (p,p) estimates for g_λ^✱-function with kernels of lower regularities ⋮ Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space ⋮ Endpoint estimates for a class of Littlewood--Paley operators with nondoubling measures ⋮ The John-Nirenberg inequality of weighted BLO space and its applications

Cites Work

• Multilinear commutators of singular integrals with non doubling measures
• Endpoint estimates for commutators of singular integral operators
• Inequalities for strongly singular convolution operators
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• A note on the Marcinkiewicz integral
• Norm Inequalities for the Littlewood-Paley Function g ∗ λ
• On some functions of Littlewood-Paley and Zygmund
• A proof of the weak \((1,1)\) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weighted estimates for the multilinear commutators of the Littlewood-Paley operators