Strongly singular convolution operators on the weighted Herz-type Hardy spaces

DOI10.1007/BF02563885zbMath0905.42008MaRDI QIDQ4391496

Lu, Shanzhen, Xiaochun Li

Publication date: 11 January 1999

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

Hardy spacesingular integralweightFourier multiplierHerz space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30)

Related Items (3)

An oscillating multiplier on Herz type spaces ⋮ Some estimates of intrinsic square functions on the weighted Herz-type Hardy spaces ⋮ Strongly singular convolution operators on Herz-type Hardy spaces with variable exponent

Cites Work

• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• \(H^p\) spaces of several variables
• Weighted Norm Inequalities for Strongly Singular Convolution Operators
• Weighted norm inequalities for maximal functions and singular integrals

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