Geodesic
On an equivalent norm on~$\mathrm{BMO}$
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 45, Tome 456 (2017), pp. 37-54

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We extand the inequality proved by S. V. Bochkarev to a larger class of convolution operators, assuming that the Fourier transforms of the kernels of these operators satisfy certain conditions in the spirit of the Hörmander–Mikhlin multiplier theorem. Therefore, we give a new characterization of $\mathrm{BMO}$. 
@article{ZNSL_2017_456_a3,
     author = {I. Vasilyev and A. Tselishchev},
     title = {On an equivalent norm on~$\mathrm{BMO}$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {37--54},
     publisher = {mathdoc},
     volume = {456},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a3/}
}
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I. Vasilyev; A. Tselishchev. On an equivalent norm on~$\mathrm{BMO}$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 45, Tome 456 (2017), pp. 37-54. http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a3/