Weak estimates for commutators of fractional integral operators

DOI10.1007/BF02880137zbMath1014.42012MaRDI QIDQ1609693

Pu Zhang, Ding, Yong, Lu, Shanzhen

Publication date: 15 August 2002

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

zbMATH Keywords

BMOfractional integral operatorweak typehigher order commutators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fractional derivatives and integrals (26A33) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items

Blow-up behavior of a fractional Adams–Moser–Trudinger-type inequality in odd dimension, Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces, A note on some Endpoint Estimates of Commutators of Fractional Integral Operators, The weighted \(H^p\) estimates for commutators of fractional integrals, The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces, On the optimal numerical parameters related with two weighted estimates for commutators of classical operators and extrapolation results, Weighted weak-type estimates for multilinear commutators of fractional integrals on spaces of homogeneous type, Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces, \(A_\infty\) weight estimates for vector-valued commutators of multilinear fractional integral, Characterization of Lipschitz functions via the commutators of singular and fractional integral operators in variable Lebesgue spaces, Two-weighted inequalities for maximal operators related to Schrödinger differential operator, Continuity properties for commutators of multilinear type operators on product of certain Hardy spaces, Boundedness of multilinear fractional integral commutators, Endpoint estimates for commutators of multilinear fractional integral operators, Corrigendum to ``Weighted estimates for a class of multilinear fractional type operators [J. Math. Anal. Appl. 362 (2) (2010) 355-373], Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type, Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials, Some estimates for the commutators of multilinear maximal function on Morrey-type space, Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials, Weighted estimates for a class of multilinear fractional type operators, Borderline Weighted Estimates for Commutators of Fractional Integrals, Commutators of integral operators with variable kernels on Hardy spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on Riesz potentials
• Higher order commutators for a class of rough operators
• Endpoint estimates for commutators of singular integral operators
• \(H^p\) spaces of several variables
• Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
• Weighted Norm Inequalities for Singular Integral Operators
• Some integral and maximal operators related to starlike sets
• Weak type bounds for a class of rough operators with power weights
• Weighted Norm Inequalities for Fractional Integrals
• On Sufficient Conditions for the Boundedness of the Hardy-Littlewood Maximal Operator between Weighted L^p -Spaces with Different Weights
• Note on the class LlogL