Monotonic rearrangements of functions with small mean oscillation
Dmitriy M. Stolyarov ; Vasily I. Vasyunin ; Pavel B. Zatitskiy
Studia Mathematica, Tome 231 (2015), p. 257-267 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We obtain sharp bounds for the monotonic rearrangement operator from "dyadic-type" classes to "continuous" ones; in particular, for the BMO space and Muckenhoupt classes. The idea is to connect the problem with a simple geometric construction named α-extension.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285701 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm8326-2-2016,
     author = {Dmitriy M. Stolyarov and Vasily I. Vasyunin and Pavel B. Zatitskiy},
     title = {Monotonic rearrangements of functions with small mean oscillation},
     journal = {Studia Mathematica},
     volume = {231},
     year = {2015},
     pages = {257-267},
     zbl = {06575016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8326-2-2016}
}

Dmitriy M. Stolyarov; Vasily I. Vasyunin; Pavel B. Zatitskiy. Monotonic rearrangements of functions with small mean oscillation. Studia Mathematica, Tome 231 (2015) pp. 257-267. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8326-2-2016/