Maximal operator, Cotlar's inequality and pointwise convergence for singular integral operators in Dunkl setting

DOI10.1007/s12220-023-01239-4OpenAlexW4360609934MaRDI QIDQ2698512

Yongsheng Han, Ji Li, Chao-Qiang Tan

Publication date: 24 April 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-023-01239-4

zbMATH Keywords

maximal operatorsingular integralsCotlar's inequality

Mathematics Subject Classification ID

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

Cites Work

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• 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
• Singular integrals in the rational Dunkl setting
• Differential-Difference Operators Associated to Reflection Groups
• Extensions of Hardy spaces and their use in analysis
• Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting

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