Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type

DOI10.1007/s10476-015-0103-8zbMath1363.42021OpenAlexW2172842340MaRDI QIDQ343252

Hung Viet Le

Publication date: 25 November 2016

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-015-0103-8

zbMATH Keywords

spaces of homogeneous typecommutatorsMarcinkiewicz integral\(L^p\) estimatenon-smooth kernelweak \((1,1)\) estimate

Mathematics Subject Classification ID

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

Related Items

Weighted Norm Inequalities for Marcinkiewicz Integrals with Non-Smooth Kernels on Spaces of Homogeneous Type, Weighted estimates for Marcinkiewicz integrals with non-smooth kernels on spaces of homogeneous type and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector-valued singular integral operators with non-smooth kernels and related multilinear commutators
• A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
• Maximal commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of homogeneous type
• Singular integral operators with non-smooth kernels on irregular domains
• Multilinear commutators of singular integral operators with non-smooth kernels
• 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.)
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• vector-valued singular integrals and maximal functions on spaces of homogeneous type
• Singular Integrals and Approximate Identities on Spaces of Homogeneous Type
• Extensions of Hardy spaces and their use in analysis
• Commutators of BMO functions and singular integral operators with non-smooth kernels
• Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
• WEIGHTED ESTIMATES FOR SINGULAR INTEGRAL OPERATORS WITH NONSMOOTH KERNELS AND APPLICATIONS