Weak (1,1) bounds for oscillatory singular integrals
From MaRDI portal
Publication:1117418
DOI10.1215/S0012-7094-87-05508-6zbMath0667.42007OpenAlexW1999596757MaRDI QIDQ1117418
Sagun Chanillo, Michael Christ
Publication date: 1987
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05508-6
Related Items (36)
On multilinear oscillatory singular integrals with rough kernels ⋮ Boundedness of oscillatory singular integrals on Hardy spaces ⋮ The mapping properties for a class of oscillatory integrals ⋮ Logarithmic bounds for oscillatory singular integrals on Hardy spaces ⋮ Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals ⋮ Endpoint estimates for oscillatory singular integrals with Hölder class kernels ⋮ Weak Type Estimates for a Singular Convolution Operator on the Heisenberg Group ⋮ On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces ⋮ Estimates for oscillatory singular integrals on Hardy spaces ⋮ Boundedness of oscillatory singular integrals with rough kernels on Triebel-Lizorkin spaces ⋮ A class of multiparameter oscillatory singular integral operators: endpoint Hardy space bounds ⋮ Riesz transforms and the wave equation for the hermite operator ⋮ H1 boundedness of oscillatory singular integrals with degenerate phase functions ⋮ Weak type estimates of singular integral operators on Morrey-Banach spaces ⋮ Unnamed Item ⋮ A class of oscillatory singular integrals with rough kernels and fewnomials phases ⋮ Weighted estimates for commutators of one-sided oscillatory integral operators ⋮ Estimates for vector-valued commutators on weighted Morrey space and applications ⋮ Weak type (1,1) bounds for rough operators. II ⋮ Behaviour of an oscillatory singular integral on weighted local Hardy spaces ⋮ Endpoint bounds for an analytic family of Hilbert transforms ⋮ Uniform estimates for oscillatory integral operators ⋮ Two-weight estimates for singular and strongly singular integral operators ⋮ Sparse bounds for maximal monomial oscillatory Hilbert transforms ⋮ Weak type (1,1) bound criterion for singular integrals with rough kernel and its applications ⋮ Revisiting Riesz transforms on Heisenberg groups ⋮ Criterion of (Lp, Lr) boundedness for a class of multilinear oscillatory singular integrals ⋮ Boundedness of rough oscillatory singular integral on Triebel--Lizorkin spaces ⋮ Weak (1,1) boundedness of oscillatory singular integral with variable phase ⋮ Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces ⋮ Unnamed Item ⋮ Oscillatory singular integrals on 𝐿^{𝑝} and Hardy spaces ⋮ The complete \((L^p,L^p)\) mapping properties for a class of oscillatory integrals ⋮ Weighted estimates for rough oscillatory singular integrals ⋮ \(L^p(\mathbb R^n)\) boundedness for the maximal operator of multilinear singular integrals with Calderón-Zygmund kernels ⋮ Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Weighted \(L^ p\) estimates for oscillating kernels
- A boundedness criterion for generalized Calderón-Zygmund operators
- Hilbert transforms along curves. I: Nilpotent groups
- Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
- Hilbert integrals, singular integrals, and Radon transforms. I
- Inequalities for strongly singular convolution operators
- Oscillatory singular integrals and harmonic analysis on nilpotent groups
- Weighted Weak (1, 1) and Weighted L p Estimates for Oscillating Kernels
- Problems in harmonic analysis related to curvature
- On the Betti Numbers of Real Varieties
This page was built for publication: Weak (1,1) bounds for oscillatory singular integrals
