WEIGHTED ESTIMATES FOR SINGULAR INTEGRAL OPERATORS WITH NONSMOOTH KERNELS AND APPLICATIONS

DOI10.1017/S1446788708000657zbMath1171.42004MaRDI QIDQ5322930

Da Chun Yang, Guo'en Hu

Publication date: 23 July 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

maximal operatorsingular integral operatornorm inequalityspace of homogeneous typeweightnon-smooth kernelapproximation to the identity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Commutators, derivations, elementary operators, etc. (47B47) Abstract harmonic analysis (43A99)

Related Items (16)

Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type ⋮ Weighted endpoint estimates for the composition of Calderón-Zygmund operators on spaces of homogeneous type ⋮ Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type ⋮ The composition of singular integral operators with nonsmooth kernels ⋮ Compactness for the commutators of multilinear singular integral operators with non-smooth kernels ⋮ Weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type and their applications ⋮ Weighted norm inequalities for commutators of BMO functions and singular integral operators with non-smooth kernels ⋮ WEIGHTED WEAK TYPE ENDPOINT ESTIMATES FOR THE COMPOSITIONS OF CALDERÓN–ZYGMUND OPERATORS ⋮ Weighted bounds for the composition of singular integral operators with nonsmooth kernels on spaces of homogeneous type ⋮ Vector-valued singular integrals with non-smooth kernels on spaces of homogeneous type ⋮ Quantitative weighted bounds for the composition of Calderón-Zygmund operators ⋮ Estimates for multilinear singular integral operators with nonsmooth kernels ⋮ Maximal commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of homogeneous type ⋮ Unnamed Item ⋮ Compactness of commutators and maximal commutators of multilinear singular integral operators with non-smooth kernels on Morrey space ⋮ Weighted norm inequalities with multiple-weight for singular integral operators with non-smooth kernels

Cites Work

• Unnamed Item
• Lipschitz functions on spaces of homogeneous type
• Weighted Hardy spaces
• Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function
• Endpoint estimates for commutators of singular integral operators
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Singular integrals and multiplier operators
• Commutators of singular integrals on spaces of homogeneous type
• Singular Integrals and Approximate Identities on Spaces of Homogeneous Type
• Weighted Norm Inequalities for Singular Integral Operators
• Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
• On Sufficient Conditions for the Boundedness of the Hardy-Littlewood Maximal Operator between Weighted L^p -Spaces with Different Weights
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
• Uncertainty principle estimates for vector fields
• Sharp weighted endpoint estimates for commutators of singular integrals

This page was built for publication: WEIGHTED ESTIMATES FOR SINGULAR INTEGRAL OPERATORS WITH NONSMOOTH KERNELS AND APPLICATIONS