Abstract
We prove certain estimates of the Rademacher sums in the discrete local \( LM_{l, L^p} \) and global \( GM_{l, L^p} \) Morrey function spaces. Using this estimates, we give necessary and sufficient conditions for the validity of an analogue of the Khinchin-Kolmogorov inequality in the spaces \( LM_{l, L^p} \) and \( GM_{l, L^p} \).
The reported study was funded by RFBR according to the research project 18-51-06005.
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Berezhnoĭ, E.I. (2019). Analogs of the Khintchin—Kolmogorov Inequalities in Discrete Morrey Spaces. In: Karapetyants, A., Kravchenko, V., Liflyand, E. (eds) Modern Methods in Operator Theory and Harmonic Analysis. OTHA 2018. Springer Proceedings in Mathematics & Statistics, vol 291. Springer, Cham. https://doi.org/10.1007/978-3-030-26748-3_9
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