Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces

  • Farrukh Mukhamedov

    United Arab Emirates University, Al Ain, United Arab Emirates
  • Humberto Rafeiro

    United Arab Emirates University, Al Ain, United Arab Emirates
Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces cover

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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.

Cite this article

Farrukh Mukhamedov, Humberto Rafeiro, Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 4, pp. 791–814

DOI 10.4171/RLM/915