Mackenhoupt condition and an estimating problem
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 186-197

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The paper deals with studying a connection of the weighted norm inequalities for the Hilbert transform with matrix valued weights and an estimating problem. We show a connection of the vector Muckenhoupt condition on the spectral density of the stationary noise and the possibility to transform a difficult estimating problem to another well-studied.
@article{ZNSL_2014_431_a11,
     author = {V. N. Solev},
     title = {Mackenhoupt condition and an estimating problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {186--197},
     publisher = {mathdoc},
     volume = {431},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a11/}
}
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V. N. Solev. Mackenhoupt condition and an estimating problem. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 186-197. http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a11/