Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
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Publication:1090879
DOI10.1016/0022-1236(87)90064-4zbMath0622.42010OpenAlexW2084401659MaRDI QIDQ1090879
Publication date: 1987
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(87)90064-4
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on real and complex Lie groups (22E30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates for singular convolution operators on the Heisenberg group
- A boundedness criterion for generalized Calderón-Zygmund operators
- Hilbert integrals, singular integrals, and Radon transforms. I
- Weak (1,1) bounds for oscillatory singular integrals
- Singular kernels supported by homogeneous submanifolds.
- Singular integrals related to the Radon transform and boundary value problems
- Oscillatory singular integrals and harmonic analysis on nilpotent groups
- Singular integrals supported on submanifolds
- Weighted norm inequalities for maximal functions and singular integrals
- Problems in harmonic analysis related to curvature