Moment and exponential tail estimations for norms of random variables and random operators in mixed (anisotropic) Lebesgue-Riesz spaces

M. R. Formica; E. Ostrovsky; L. Sirota

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arXiv · 2110.03430

Moment and exponential tail estimations for norms of random variables and random operators in mixed (anisotropic) Lebesgue-Riesz spaces

M. R. Formica·E. Ostrovsky·L. Sirota

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Abstract

We study the random variables (r.v.) with values in the so-called mixed (anisotropic) Lebesgue-Riesz spaces: formulate the sufficient conditions for belonging of the r.v. to these spaces, estimate the tail of norms distribution, especially deduce the exponential decreasing tails of them, etc. We obtain as a consequence the estimations of the norms of random integral operators acting between these spaces.

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M. R. Formica, E. Ostrovsky, L. Sirota. 2021-10-05. Moment and exponential tail estimations for norms of random variables and random operators in mixed (anisotropic) Lebesgue-Riesz spaces. https://arxiv.org/abs/2110.03430

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