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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V. Solev

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

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Email: vnsolev@gmail.com
俄罗斯联邦, St.Petersburg

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