Year: 2025
Type: article
Abstract: We obtain results concerning the so-called factorization for the convergence almost everywhere of random variables belonging to the classical Lebesgue-Riesz spaces and we extend these results to the Grand Lebesgue Spaces. We also give exact estimates for the parameters involved and we provide several examples. Moreover, we show that in the general case the obtained estimates are, up to a multiplicative constant, essentially nonimprovable.
Institutions: Parthenope University of Naples, Bar-Ilan University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G5339074417, G5456286744
OpenAlex ID: W4411217065