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

Title:

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

Creator:

Hu, Guoen, Yang, Dachun, and Yang, Dongyong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a749cc12-87c1-4a6a-bf4d-c08de9693cad
uuid:a749cc12-87c1-4a6a-bf4d-c08de9693cad

Subject:

non-doubling measure, $\mathop{\rm RBMO}(\mu )$, and sharp maximal function

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

159-171

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:1

Harvested from:

CDK

Metadata only:

false