We show that the Lusin area function and essentially all of its real-variable generalizations are pointwise dominated by an \lq\lq intrinsic\rq\rq\ square function, and that this latter function is, for all practical purposes, no larger than a \lq\lq generic\rq\rq square function.
Cite this article
J. Michael Wilson, The intrinsic square function. Rev. Mat. Iberoam. 23 (2007), no. 3, pp. 771–791DOI 10.4171/RMI/512