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\(L^p\) and \(H^1\) boundedness of oscillatory singular integral operators with Hölder class kernels

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Publication:2044584
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DOI10.1007/s00020-021-02659-zzbMath1470.42021OpenAlexW3174586705MaRDI QIDQ2044584

Pan, Yibiao

Publication date: 10 August 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-021-02659-z


zbMATH Keywords

Hardy spacessingular integralsoscillatory integralsHölder classes\(L^p\) spaces


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15)




Cites Work

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  • Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
  • A bootstrapping approach to jump inequalities and their applications
  • Boundedness of oscillatory singular integrals on Hardy spaces
  • Oscillatory singular integral operators with Hölder class kernels on Hardy spaces
  • \(H^p\) spaces of several variables
  • Sharp bounds for oscillatory singular integrals on Hardy spaces
  • A real variable characterization of $H^{p}$
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