Geodesic
The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the Riesz transformations
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 41, Tome 416 (2013), pp. 59-69 Cet article a éte moissonné depuis la source Math-Net.Ru

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The condition mentioned in the title is equivalent to the representability of $f$ as a quotient $f=v_1/v_2$ where $v_1$ and $v_2$ obey the inequality $|R_jv_i|\le cv_i$, $i=1,2$, $j=1,\ldots,n$. Here $R_1,\ldots,R_n$ are the Riesz transformations. 
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     title = {The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the {Riesz} transformations},
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I. M. Vasilyev. The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the Riesz transformations. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 41, Tome 416 (2013), pp. 59-69. http://geodesic.mathdoc.fr/item/ZNSL_2013_416_a1/

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