My thesis

"Three Regularity Results in Harmonic Analysis", Ph.D. thesis, Princeton University [dvi]

which of course would never have been finished without the endless support and guidance of my advisor, Elias Stein, is essentially the union of the following three papers:

"Weak-type endpoint bounds for Riesz means", Proceedings of the American Mathematical Society 124 (1996), 2797-2805. [dvi] [ps]

"On the almost-everywhere convergence of wavelet summation methods", Applied and Computational Harmonic Analysis 3 (1996), 384-387. [dvi] [Plain TeX]

"Weak-type endpoint bounds for homogeneous convolution operators", Indiana U. Math. J. 48 (1999), 1547-1584. [dvi] [ps]