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

5 Oct 2021  ·  M. R. Formica, E. Ostrovsky, L. Sirota ·

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. read more

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Probability