Singular integrals with variable kernels in dyadic settings

DOI10.1007/S10114-023-1254-3arXiv2101.11057OpenAlexW3124203141MaRDI QIDQ6079307

Raquel Crescimbeni, Luis Nowak, Hugo Aimar

Publication date: 29 September 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11057

zbMATH Keywords

singular integralsspaces of homogeneous typeHaar basisPetermichl's operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of Haar bases associated with different dyadic systems
• Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
• Lipschitz functions on spaces of homogeneous type
• A decomposition into atoms of distributions on spaces of homogeneous type
• On the Calderón-Zygmund structure of Petermichl's kernel
• Multiresolution approximations and unconditional bases on weighted Lebesgue spaces on spaces of homogeneous type
• 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.)
• On the existence of certain singular integrals
• On singular integrals with variable kernels
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol

This page was built for publication: Singular integrals with variable kernels in dyadic settings