Oscillation and variation for the Riesz transform associated with Bessel operators

DOI10.1017/S0308210518000215zbMath1416.42016arXiv1605.01251OpenAlexW2963715953MaRDI QIDQ5382881

Jing Zhang, Huo Xiong Wu, Dong Yong Yang

Publication date: 19 June 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01251

zbMATH Keywords

oscillationBessel operatorRiesz transformvariation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (7)

Jump and variational inequalities for hypersingular integrals with rough kernels ⋮ Weighted jump and variational inequalities for hypersingular integrals with rough kernels ⋮ Oscillation and variation for Riesz transform in setting of Bessel operators on \(H^1\) and BMO ⋮ Bounded Bessel-type operators on \(\mathrm{BMO}^2_{\alpha}(\mathbb{R}_+)\) ⋮ Weighted variational inequalities for singular integrals on spaces of homogeneous type ⋮ Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting ⋮ The boundedness of variation associated with the commutators of approximate identities

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