Monotonic rearrangements of functions with small mean oscillation

被引：8
|
作者：
Stolyarov, Dmitriy M. [1 ,2 ,3 ]
Vasyunin, Vasily I. [3 ]
Zatitskiy, Pavel B. [2 ,3 ]
机构：
[1] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland
[2] St Petersburg State Univ, Chebyshev Lab, St Petersburg 199178, Russia
[3] Russian Acad Sci PDMI RAS, VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia
来源：
STUDIA MATHEMATICA | 2015年 / 231卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
BMO; Muckenhoupt class; monotonic rearrangement;
D O I：
10.4064/sm8326-2-2016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 alpha-extension.
引用
收藏
页码：257 / 267
页数：11
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