Da-Chun Yang

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math.CA2026

$Γ$ -Convergence of Weak-Type Nonlocal Functionals on Bounded Domains

Xiaosheng Lin, Dachun Yang, Sibei Yang +2

Let $N \geq 1$ , $p \in [1, \infty)$ , $γ \in (0, \infty)$ , and $Ω \subset R^{N}$ be a bounded open interval when $N = 1$ or a bounded Lipschitz domain when $N \geq 2$ . For any $λ\in(0,\infty)…

math.CA2026

Parabolic BMO Spaces, Muckenhoupt Weights, and Reverse Hölder Classes with Time Lag: Equivalence and Characterizations

Weiyi Kong, Dachun Yang, Wen Yuan

For any given time lag $γ \in (0, 1)$ , we prove that the one-sided parabolic BMO space $BMO^{+} (γ)$ coincides with the parabolic BMO space $PBMO^{-} (γ)$ with equivalent…

Γ-Convergence of Weak-Type Nonlocal Functionals on Bounded Domains

Parabolic BMO Spaces, Muckenhoupt Weights, and Reverse Hölder Classes with Time Lag: Equivalence and Characterizations

$Γ$ -Convergence of Weak-Type Nonlocal Functionals on Bounded Domains