We derive weighted rearrangement estimates for a large class of area integrals. The main approach used earlier to study these questions is based on distribution function inequalities.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-1-1,
author = {A. K. Lerner},
title = {Rearrangement estimates of the area integrals},
journal = {Colloquium Mathematicae},
volume = {91},
year = {2002},
pages = {1-7},
zbl = {0987.31001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-1-1}
}
A. K. Lerner. Rearrangement estimates of the area integrals. Colloquium Mathematicae, Tome 91 (2002) pp. 1-7. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-1-1/