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math.FA2026
Hidden critical and Morse equivalence behind duality: Theory and Applications
Dong Zhang
The aim of this paper is to establish critical duality theory for ratios of nonnegative homogeneous convex functions (shorten for RC functions) and differences of convex functions…
math.FA2020
Khintchine inequality on normed spaces and the application to Banach-Mazur distance
Xin Luo, Dong Zhang
We establish variant Khintchine inequalities on normed spaces of Hanner type and cotype, in which the Rademacher distribution corresponding to classical Khintchine inequality is re…