arXiv Open Access 2021

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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Abstrak

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.

Topik & Kata Kunci

math.PR

Penulis (3)

M. R. Formica

E. Ostrovsky

L. Sirota

Format Sitasi

APA MLA BibTeX

Formica, M.R., Ostrovsky, E., Sirota, L. (2021). 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

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓