This subject has several natural points of view, but we shall start with the one that corresponds to the following question: Is there something like Littlewood-Paley theory which is useful for analyzing the geometry of subsets of Rn, in much the same way that traditional Littlewood-Paley theory is good for analyzing functions and operators?
@article{urn:eudml:doc:41686,
title = {Harmonic analysis and the geometry of subsets of Rn.},
journal = {Publicacions Matem\`atiques},
volume = {35},
year = {1991},
pages = {237-249},
mrnumber = {MR1103617},
zbl = {0734.42012},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41686}
}
David, Guy; Semmes, Stephen. Harmonic analysis and the geometry of subsets of Rn.. Publicacions Matemàtiques, Tome 35 (1991) pp. 237-249. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41686/