Geodesic
A new characterization of ${\rm RBMO}(\mu )$ by John-Strömberg sharp maximal functions
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 159-171 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 42B25, 42B35, 43A99
Keywords: non-doubling measure; $\mathop{\rm RBMO}(\mu )$; sharp maximal function 
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Hu, Guoen; Yang, Dachun; Yang, Dongyong. A new characterization of ${\rm RBMO}(\mu )$ by John-Strömberg sharp maximal functions. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 1, pp. 159-171. http://geodesic.mathdoc.fr/item/CMJ_2009_59_1_a10/

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