Boundedness of rough oscillatory singular integral on Triebel--Lizorkin spaces
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Publication:2484259
DOI10.1016/j.jmaa.2005.01.015zbMath1083.42011OpenAlexW2054341948MaRDI QIDQ2484259
Liya Jiang, Jiecheng Chen, Houyu Jia
Publication date: 1 August 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.015
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)
Related Items (7)
BOUNDEDNESS OF SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS ON TRIEBEL–LIZORKIN SPACES ⋮ On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces ⋮ Boundedness of oscillatory singular integrals with rough kernels on Triebel-Lizorkin spaces ⋮ Boundedness of Marcinkiewicz integral on Triebel-Lizorkin spaces ⋮ Boundedness for parabolic singular integral with rough kernels and its commutators on Triebel-Lizorkin spaces ⋮ Boundedness of rough integral operators on Triebel-Lizorkin spaces ⋮ Estimates of three classical summations on the spaces \(\dot{F}^{\alpha,q}_p(\mathbb R^n)(0<p\leq 1)\)
Cites Work
- Maximal and singular integral operators via Fourier transform estimates
- Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
- Weak (1,1) bounds for oscillatory singular integrals
- Criterion on \(L^ p\)-boundedness for a class of oscillatory singular integrals with rough kernels
- Weighted estimates for rough oscillatory singular integrals
- Singular integral operators on function spaces
- Boundedness of oscillatory singular integrals on Hardy spaces
- On Singular Integrals
- Weighted Norm Inequalities for Homogeneous Singular Integrals
- Oscillatory singular integrals on weighted Hardy spaces
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