TY - JOUR
T1 - Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces
AU - Mukhamedov, Farrukh
AU - Rafeiro, Humberto
N1 - Funding Information:
Acknowledgments. The research of F. Mukhamedov was supported by the UAEU UPAR Grant No. G00003247 (Fund No. 31S391). The research of H. Rafeiro was supported by a UAEU Start-up Grant No. G00002994. Finally, the authors are grateful to an anonymous referee whose useful suggestions allowed us to improve the presentation of this paper.
Publisher Copyright:
© 2020 European Mathematical Society Publishing House. All rights reserved.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Modulated
KW - One-sided ergodic Hilbert transform
KW - Weight
UR - http://www.scopus.com/inward/record.url?scp=85102514581&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85102514581&partnerID=8YFLogxK
U2 - 10.4171/RLM/915
DO - 10.4171/RLM/915
M3 - Article
AN - SCOPUS:85102514581
SN - 1120-6330
VL - 31
SP - 791
EP - 814
JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
IS - 4
ER -