Abstract
We obtain weighted strong law of large numbers for a sequence of random variables belonging to variable exponent vector-valued Lebesgue spaces. As an application, we establish sufficient conditions for the convergence of weighted ergodic averages and weighted series of contractions in Banach spaces.
Original language | English |
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Pages (from-to) | 791-814 |
Number of pages | 24 |
Journal | Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni |
Volume | 31 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2020 |
Keywords
- Modulated
- One-sided ergodic Hilbert transform
- Weight
ASJC Scopus subject areas
- General Mathematics