Oscillatory Singular Integrals on Hardy Spaces Associated with Herz Spaces

DOI10.2307/2160979zbMath0830.42008OpenAlexW2761711801MaRDI QIDQ4845876

Lu, Shanzhen, Da Chun Yang

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2160979

zbMATH Keywords

Herz spacesHardy type spacesoscillatory integrals of non convolution type

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Related Items

Convolution operators on the weighted Herz-type Hardy spaces ⋮ Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Endpoint estimates for fractional Hardy operators and their commutators on Hardy spaces ⋮ Bilinear operators on Herz-type Hardy spaces ⋮ Some estimates for Bochner-Riesz operators on the weighted Herz-type Hardy spaces ⋮ A T(b) type theorem on the weighted Herz-type Hardy spaces and applications ⋮ Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces ⋮ Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces ⋮ A note to oscillatory singular integrals on Herz-type spaces ⋮ Two operators related to Marcinkiewicz integrals ⋮ Some oscillatory singular integrals on Herz-type spaces. II

Cites Work

• Hardy spaces and oscillatory singular integrals
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Hilbert integrals, singular integrals, and Radon transforms. II
• Some new classes of Hardy spaces
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• Hardy Spaces and Beurling Algebras
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