On the two dimensional Bilinear Hilbert Transform

By Ciprian Demeter, C. Thiele. 2008

58 citations recorded by the source corpus.

We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from $\Z^2$ actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory.

View Paper: https://www.semanticscholar.org/paper/8483a461aba05c67b7dc693a02923d5d14f47850

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Yen Q. Do
2. C. Thiele
3. Loukas Grafakos
4. Camil Muscalu
5. C. Benea
6. Xiaochun Li

Citations in the corpus

• Lp theory for outer measures and two themes of Lennart Carleson united (2013, background): “One would need an additional Carleson embedding theorem, either analogous to the interplay between energy and mass in [12], or analogous to some vector valued version of the Carleson embedding theorem as in [7].”
• Some open problems on multiple ergodic averages (2011, unknown): “o look for such topics, for instance, the survey articles of V. Bergelson [37, 40, 41] cover a substantial part of related material and contain an extensive bibliography up to 2006. Linear sequences: [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 22, 25, 27, 28, 29, 30, 31, 38, 43, 47, 49”