Title | With | Status | Download |
On the almost-everywhere convergence of wavelet summation methods |
| ACHA 3 (1996), 384-387 | |
| Adv. Appl. Clifford Alg. 6 (1996), 207-218 | ||
Almost everywhere convergence of general wavelet shrinkage estimators | ACHA 9 (2000), 72-82 | ||
The weak-type (1,1) of L \log L homogeneous convolution operators |
| Indiana U. Math. J. 48 (1999), 1547-1584 | |
Convex bodies with a point of curvature do not admit exponential bases | Amer. J. Math. 123 (2001), 115-120 | ||
Endpoint multiplier theorems of Marcinkiewicz type | Revista Mat. Iber. 17 (2001), 521-558 | ||
Math. Annalen 320 (2001) 2, 381-415 | |||
J. Amer. Math. Soc. 16 (2003), 605-638 | Long slides dvi | ||
A converse extrapolation theorem for translation-invariant operators |
| J. Funct. Anal. 180 (2001), 1-10 | |
The Fuglede spectral conjecture holds for convex bodies in the plane | Math. Res. Letters 10 (2003), 559-570 | ||
Some light on Littlewood-Paley theory | Math. Annalen 321 (2001) 4, 885-888 | ||
Endpoint mapping properties of spherical maximal operators | J. Institut Math. Jussieu 2 (2003) 1, 109-144 | ||
Pointwise convergence of lacunary spherical means | Mt. Holyoke Proceedings (2001), Contemporary Mathematics (2003), 341-352 | ||
Singular maximal functions and Radon transforms near L^1 | Amer. J. Math. 126 (2004), 607-647. | ||
Carleson measures, trees, extrapolation, and T(b) theorems | Publications Matematiques Barcelona 46 (2002), 257-325 | ||
Weak-type (1,1) bounds for Fourier integral operators |
| J. Aust. Math. Soc. 75 (2003), 1-21. | |
Fuglede's conjecture is false in 5 and higher dimensions |
| Math. Res. Letters 11 (2004), 251-258 | |
An uncertainty principle for cyclic groups of prime order |
| Math. Res. Letters 12 (2005), 121-127 | |
The Brascamp--Lieb Inequalities: Finiteness, Structure and Extremals | Jon Bennett | GAFA 17 (2008), 1343-1415 | |
Finiteness bounds for Holder-Brascamp-Lieb multilinear inequalities | Jon Bennett | Math. Res. Letters, 17 (2010), 647-666 | |
A quantitative version of the Besicovitch projection theorem via multiscale analysis | Proc. Lond. Math. Soc. 98 (2009), 559-584. | ||
Random Martingales and localization of maximal inequalities | J. Funct. Anal. 259 (2010), 731-779 | ||
Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem | |||
Failure of the $L^1$ pointwise and maximal ergodic theorems for the free group | Forum Math. Sigma 3 (2015), e27, 19 pp. | ||
Analysis and applications: the work of Elias Stein | Charles Fefferman Alex Ionescu Stephen Wainger | Bull. Amer. Math. Soc. https://doi.org/10.1090/bull/1691 | |
Pointwise ergodic theorems for non-conventional bilinear polynomial averages | Ben Krause, Mariusz Mirek | Annals Math. Pages 997-1109 from Volume 195 (2022), Issue 3 | |
The Ionescu-Wainger multiplier theorem and the adeles | Mathematika 67 (2021), no. 3, 647–677. | ||
Homogenization of iterated singular integrals with applications to random quasiconformal maps | Kari Astala, Steffen Rohde, Eero Saksman | Revista Iberoamericana VOL. 38, NO. 7PP. 2285–2336 | |
Adjoint Brascamp-Lieb inequalities | Jon Bennett | Submitted, Proc. Lond. Math. Soc. | |
A Maclaurin type inequality | Submitted, Proc. AMS |
Preprints specific to the Kakeya, Restriction, and Bochner-Riesz problems can be found here.
Preprints specific to multilinear operators can be found here.
Preprints specific to sparse recovery problems can be found here.
These are generally very short, toy versions of real results due to other people, and are not publication-quality. Caveat emptor. All files other than figures are in dvi format. Unlike the preprints, these articles are fluid and subject to new developments. Please let me know if you have any comments, references, etc. on any of them.
Disclaimer: Many of the notes here are based on papers written by other people. My intention here is not to try to "beat" these authors' work in any way, but rather to isolate the main ingredients of the argument, which are often very beautiful, and try to present them in as simple and brief a context as possible (often sacrificing generality, rigour, and/or details in order to do this). Certainly I do not view these notes as worthy of publication in a refereed journal, and are definitely inferior to the original article in every single aspect, with the possible exception of brevity.
Back to my preprints page.