Rough singular integrals and maximal operator with radial-angular integrability

DOI10.1090/proc/15705zbMath1485.42028OpenAlexW3166894714WikidataQ114094191 ScholiaQ114094191MaRDI QIDQ5027158

Ronghui Liu, Huo Xiong Wu

Publication date: 4 February 2022

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

Full work available at URL: https://doi.org/10.1090/proc/15705

zbMATH Keywords

singular integral operatorsrough kernelsmaximal singular integral operatorsmixed radial-angular spaces\(H^1(S^{n-1})\)

Mathematics Subject Classification ID

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

Related Items

Characterizations of the mixed radial-angular central Campanato space via the commutators of Hardy type, Mixed radial‐angular integrability for rough maximal singular integrals and Marcinkiewicz integrals with mixed homogeneity, Some estimates of multi-sublinear operators and commutators on mixed \(\lambda\)-central Morrey spaces, Rough Singular Integral Operators along Submanifolds, Unnamed Item, Unnamed Item

Cites Work

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• Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability
• Singular integrals, maximal functions and Fourier restriction to spheres: the disk multiplier revisited
• Maximal and singular integral operators via Fourier transform estimates
• Characterizations of \(H^1\) and applications to singular integrals
• A note on singular integrals with angular integrability
• Weighted estimates for rough singular integrals with applications to angular integrability
• On the regularity set and angular integrability for the Navier-Stokes equation
• On the existence of certain singular integrals
• On Singular Integrals
• Mixed radial-angular integrability for rough singular integrals and maximal operators
• Extensions of Hardy spaces and their use in analysis
• L^p bounds for singular integrals and maximal singular integrals with rough kernels
• Singular integral operators with rough kernels supported by subvarieties
• Spherically Averaged Endpoint Strichartz Estimates For The TwoDimensional Schrödinger Equation