6 citations · 12 across the 10 of their papers we have counts for
10 papers
Decoupling for degenerate hypersurfaces
Jianhui Li, Tongou Yang
We utilise the two principles of decoupling introduced in arXiv:2407.16108 to prove the following conditional result: assuming uniform decoupling for graphs of polynomials in all d…
Decoupling for surfaces with radial symmetry
Jianhui Li, Tongou Yang
We utilise the two principles of decoupling introduced in [arXiv:2407.16108] to prove decoupling for two types of surfaces exhibiting radial symmetry. The first type are surfaces o…
Two principles of decoupling
Jianhui Li, Tongou Yang
We put forward a radial principle and a degeneracy locating principle of decoupling. The former generalises the Pramanik-Seeger argument used in the proof of decoupling for the lig…
Sharp decoupling for paraboloids
Tongou Yang
In this short expository note, we prove the following result, which is a special case of the main theorem in arXiv:2011.09451. For each and , we pro…
A multi-parameter cinematic curvature
Mingfeng Chen, Shaoming Guo, Tongou Yang
We state a multi-parameter cinematic curvature condition, and prove bounds for related maximal operators. In particular, we verify a local smoothing conjecture of Zahl.
A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in
Malabika Pramanik, Tongou Yang, Joshua Zahl
We resolve a conjecture of Fässler and Orponen on the dimension of exceptional projections to one-dimensional subspaces indexed by a space curve in . We do this by ob…
Decoupling for smooth surfaces in
Jianhui Li, Tongou Yang
For each , we prove decoupling inequalities in for the graphs of all bivariate polynomials of degree at most with bounded coefficients, with the decoupli…
Decoupling for mixed-homogeneous polynomials in
Jianhui Li, Tongou Yang
We prove decoupling inequalities for mixed-homogeneous bivariate polynomials, which partially answers a conjecture of Bourgain, Demeter and Kemp.
Uniform -decoupling in for Polynomials
Tongou Yang
For each positive integer , we prove a uniform -decoupling inequality for the collection of all polynomials phases of degree at most . Our result is intimately related t…
On Sets Containing an Affine Copy of Bounded Decreasing Sequences
Tongou Yang
How small can a set be while containing many configurations? Following up on earlier work of Erd\H os and Kakutani \cite{MR0089886}, Máthé \cite{MR2822418} and Molter and Yavicoli…