40 citations · 489 across the 52 of their papers we have counts for
6 papers · 1 filter
A short proof of decoupling for the moment curve
Shaoming Guo, Zane Kun Li, Po-Lam Yung +1
We give a short and elementary proof of the decoupling inequality for the moment curve in , using a bilinear approach inspired by the nested efficient cong…
Decoupling for two quadratic forms in three variables: a complete characterization
Shaoming Guo, Changkeun Oh, Joris Roos +2
We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in given by two quadratic forms in three variables. Together with previous work…
Weighted Lépingle inequality
Pavel Zorin-Kranich
We prove an estimate for weighted -th moments of the pathwise -variation of a martingale in terms of the characteristic of the weight. The novelty of the proof is tha…
Bi-parameter Carleson embeddings with product weights
Nicola Arcozzi, Pavel Mozolyako, Georgios Psaromiligkos +2
Coifman--Meyer multipliers represent a very important class of bi-linear singular operators, which were extensively studied and generalized. They have a natural multi-parameter cou…
Modulation invariant operators
Pavel Zorin-Kranich
The first three results in this thesis are motivated by a far-reaching conjecture on boundedness of singular Brascamp-Lieb forms. Firstly, we improve over the trivial estimate for…
Decoupling for certain quadratic surfaces of low co-dimensions
Shaoming Guo, Pavel Zorin-Kranich
We prove sharp decoupling inequalities for quadratic forms in variables. We also recover several previous results (arXiv:1409.1634, arXiv:1501.07224, arXiv:…