A new characterization of $\mathrm{RBMO}\left(\mu \right)$ by John-Strömberg sharp maximal functions

Hu, Guoen, Yang, Dachun, and Yang, Dongyong. "A new characterization of ${\rm RBMO}(\mu )$ by John-Strömberg sharp maximal functions." Czechoslovak Mathematical Journal 59.1 (2009): 159-171. <http://eudml.org/doc/37914>.

@article{Hu2009,
abstract = {Let $\mu $ be a nonnegative Radon measure on $\{\{\mathbb \{R\}\}^d\}$ which only satisfies $\mu (B(x, r))\le C_0r^n$ for all $x\in \{\{\mathbb \{R\}\}^d\}$, $r>0$, with some fixed constants $C_0>0$ and $n\in (0,d].$ In this paper, a new characterization for the space $\mathop \{\rm RBMO\}(\mu )$ of Tolsa in terms of the John-Strömberg sharp maximal function is established.},
author = {Hu, Guoen, Yang, Dachun, Yang, Dongyong},
journal = {Czechoslovak Mathematical Journal},
keywords = {non-doubling measure; $\mathop \{\rm RBMO\}(\mu )$; sharp maximal function; non-doubling measure; ; sharp maximal function},
language = {eng},
number = {1},
pages = {159-171},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new characterization of $\{\rm RBMO\}(\mu )$ by John-Strömberg sharp maximal functions},
url = {http://eudml.org/doc/37914},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Hu, Guoen
AU - Yang, Dachun
AU - Yang, Dongyong
TI - A new characterization of ${\rm RBMO}(\mu )$ by John-Strömberg sharp maximal functions
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 1
SP - 159
EP - 171
AB - Let $\mu $ be a nonnegative Radon measure on ${{\mathbb {R}}^d}$ which only satisfies $\mu (B(x, r))\le C_0r^n$ for all $x\in {{\mathbb {R}}^d}$, $r>0$, with some fixed constants $C_0>0$ and $n\in (0,d].$ In this paper, a new characterization for the space $\mathop {\rm RBMO}(\mu )$ of Tolsa in terms of the John-Strömberg sharp maximal function is established.
LA - eng
KW - non-doubling measure; $\mathop {\rm RBMO}(\mu )$; sharp maximal function; non-doubling measure; ; sharp maximal function
UR - http://eudml.org/doc/37914
ER -