In this paper, one uses a discrete representation to characterize two singular integral kernel spaces with two others simple Banach, and to improve a Meyer's result: David and Journé's $T(1)$ theorem under a weaker kernel condition.
"Characterization of Singular Integral Kernel Space and $T(1)$ Theorem." Tokyo J. Math. 23 (2) 361 - 372, December 2000. https://doi.org/10.3836/tjm/1255958676