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On Iterated Discrete Hardy Type Inequalities for a Class of Matrix Operators

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Abstract

In this paper, we discuss new iterated discrete inequalities of Hardy type involving matrix kernels. Under some conditions on matrix entries of the kernels, we establish weight characterizations of these inequalities.

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Funding

This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan in the area “Scientific research in the field of natural sciences” [grant number AP09259084].

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Authors and Affiliations

  1. KIMEP University, 4 Abay Ave., Almaty, 050010, Kazakhstan

    A. Kalybay

  2. L. N. Gumilyov Eurasian National University, 2 Satpaev St., Nur-Sultan, 101008, Kazakhstan

    A. Temirkhanova & N. Zhangabergenova

Authors
  1. A. Kalybay
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  2. A. Temirkhanova
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  3. N. Zhangabergenova
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Correspondence to A. Kalybay.

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Kalybay, A., Temirkhanova, A. & Zhangabergenova, N. On Iterated Discrete Hardy Type Inequalities for a Class of Matrix Operators. Anal Math 49, 137–150 (2023). https://doi.org/10.1007/s10476-022-0182-2

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  • DOI: https://doi.org/10.1007/s10476-022-0182-2

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