Bilinear Hilbert transforms along curves, I: The monomial case
From MaRDI portal
Publication:371161
DOI10.2140/apde.2013.6.197zbMath1275.42022arXiv0805.0107OpenAlexW2096236542MaRDI QIDQ371161
Publication date: 27 September 2013
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.0107
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)
Related Items (24)
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform ⋮ Bilinear Hilbert transforms associated with plane curves ⋮ \(L^2\) Estimates of trilinear oscillatory integrals of convolution type on \(\mathbb{R}^2\) ⋮ On a discrete bilinear singular operator ⋮ Maximal decay inequalities for trilinear oscillatory integrals of convolution type ⋮ Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves ⋮ Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ Bilinear fractional integral along homogeneous curves ⋮ The boundedness of the (sub)bilinear maximal function along ``non-flat smooth curves ⋮ The boundedness of the bilinear oscillatory integral along a parabola ⋮ On a hybrid of bilinear Hilbert transform and paraproduct ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Discrete bilinear Radon transforms along arithmetic functions with many common values ⋮ Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct ⋮ A polynomial Roth theorem on the real line ⋮ A general nonlinear version of Roth's theorem on the real line ⋮ Improved estimates for polynomial Roth type theorems in finite fields ⋮ Two bipolynomial Roth theorems in \(\mathbb{R}\) ⋮ Decay rate of multilinear oscillatory integral operators in $\mathbb {R}^2$ ⋮ Full range boundedness of bilinear Hilbert transform along certain polynomials ⋮ On the bilinear Hilbert transform along two polynomials ⋮ Oscillatory Loomis-Whitney and projections of sublevel sets ⋮ A Hörmander type theorem in finite fields ⋮ A nonlinear version of Roth's theorem on sets of fractional dimensions
This page was built for publication: Bilinear Hilbert transforms along curves, I: The monomial case
