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Maximal inequalities for normed double sums of random elements in martingale type p Banach spaces with applications to degenerate mean convergence of the maximum of normed sums
Authors: Andrew Rosalsky and Lê Văn Thành
6    0
Numerical Algebra, Control and Optimization
: 14     : 714-724
: https://www.aimsciences.org/article/doi/10.3934/naco.2024010?viewType=HTML
: NCKH_1523_20241114144203.pdf
Publishing year: 11/2024
In this correspondence, we prove new maximal inequalities for normed double sums of random elements taking values in a real separable martingale type p Banach space. The result is then applied to establish mean convergence theorems for the maximum of normed and suitably centered double sums of Banach space-valued random elements.
Maximal inequality, Array of Banach space valued random elements, Martingale type p Banach space, Mean convergence of order q, Double sums.
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