Monotonic rearrangements of functions with small mean oscillation
Dmitriy M. Stolyarov; Vasily I. Vasyunin; Pavel B. Zatitskiy
Studia Mathematica (2015)
- Volume: 231, Issue: 3, page 257-267
- ISSN: 0039-3223
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topDmitriy M. Stolyarov, Vasily I. Vasyunin, and Pavel B. Zatitskiy. "Monotonic rearrangements of functions with small mean oscillation." Studia Mathematica 231.3 (2015): 257-267. <http://eudml.org/doc/285701>.
@article{DmitriyM2015,
abstract = {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.},
author = {Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy},
journal = {Studia Mathematica},
keywords = {BMO space; Muckenhoupt class; monotonic rearrangement; martingale},
language = {eng},
number = {3},
pages = {257-267},
title = {Monotonic rearrangements of functions with small mean oscillation},
url = {http://eudml.org/doc/285701},
volume = {231},
year = {2015},
}
TY - JOUR
AU - Dmitriy M. Stolyarov
AU - Vasily I. Vasyunin
AU - Pavel B. Zatitskiy
TI - Monotonic rearrangements of functions with small mean oscillation
JO - Studia Mathematica
PY - 2015
VL - 231
IS - 3
SP - 257
EP - 267
AB - 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.
LA - eng
KW - BMO space; Muckenhoupt class; monotonic rearrangement; martingale
UR - http://eudml.org/doc/285701
ER -
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