Bilinear Hilbert transforms associated with plane curves
From MaRDI portal
Publication:282800
DOI10.1007/S12220-015-9580-ZzbMath1337.42011arXiv1403.5353OpenAlexW1979481228MaRDI QIDQ282800
Publication date: 12 May 2016
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5353
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38)
Related Items (9)
Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves ⋮ Bilinear fractional integral along homogeneous curves ⋮ A polynomial Roth theorem on the real line ⋮ A general nonlinear version of Roth's theorem on the real line ⋮ Two bipolynomial Roth theorems in \(\mathbb{R}\) ⋮ Full range boundedness of bilinear Hilbert transform along certain polynomials ⋮ On the bilinear Hilbert transform along two polynomials ⋮ A Hörmander type theorem in finite fields ⋮ A nonlinear version of Roth's theorem on sets of fractional dimensions
Cites Work
- Unnamed Item
- Bilinear Hilbert transforms along curves, I: The monomial case
- Hilbert transforms for convex curves
- Uniform estimates for some paraproducts
- \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
- On Calderón's conjecture
- Singular and maximal Radon transforms: Analysis and geometry
- The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\)
- On convergence and growth of partial sums of Fourier series
- Oscillatory integrals and multipliers on FL\(^p\)
- On lattice points in large convex bodies
- On Hilbert transforms along curves
- On Hilbert Transforms Along Curves. II
- Problems in harmonic analysis related to curvature
- On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves
- Pointwise convergence of Fourier series
This page was built for publication: Bilinear Hilbert transforms associated with plane curves
