Inequalities for second-order Riesz transforms associated with Bessel expansions

DOI10.4064/BA200302-5-10zbMath1457.42022OpenAlexW3093838835MaRDI QIDQ5147005

Adam Osȩkowski

Publication date: 2 February 2021

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba200302-5-10

zbMATH Keywords

Hankel transformmartingaleRiesz transformdifferential subordinationBessel expansion

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Martingales with continuous parameter (60G44)

Cites Work

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• Weak-type inequalities for Fourier multipliers with applications to the Beurling-Ahlfors transform
• Boundary value problems and sharp inequalities for martingale transforms
• Higher order Riesz transforms associated with Bessel operators
• A sharp and strict \(L^ p\)-inequality for stochastic integrals
• Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
• Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
• Logarithmic inequalities for Fourier multipliers
• Sharp Martingale and Semimartingale Inequalities
• Riesz transforms related to Bessel operators
• Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform

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