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The Mackenhoupt Condition and an Estimating Problem

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The paper considers a connection between weighted norm inequalities for the Hilbert transform with matrix valued weights and an estimating problem. A connection of the vector Muckenhoupt condition on the spectral density of the stationary noise and a possibility to transform a difficult estimating problem to another well-studied problem is established. Bibliography: 12 titles

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University, St.Petersburg, Russia

    V. N. Solev

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  1. V. N. Solev
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Correspondence to V. N. Solev.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 431, 2014, pp. 186–197.

Translated by I. Ponomarenko.

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Solev, V.N. The Mackenhoupt Condition and an Estimating Problem. J Math Sci 214, 546–553 (2016). https://doi.org/10.1007/s10958-016-2797-y

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  • DOI: https://doi.org/10.1007/s10958-016-2797-y

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