3 papers
math.AP2026
Improved Fractional Sobolev Embeddings on Closed Riemannian Manifolds under Isometric Group Actions
Hao Tan, Zhipeng Yang
In this paper, we study symmetry-improved fractional Sobolev embeddings on closed Riemannian manifolds under the action of compact isometry groups. We prove that \(G\)-invariant fr…
math.AP2025
Sharp Fractional Sobolev Embeddings on Closed Manifolds
Hao Tan, Zetian Yan, Zhipeng Yang
We develop an intrinsic, heat-kernel based fractional Sobolev framework on closed Riemannian manifolds and study the critical fractional Sobolev embedding. We determine the optimal…
math.ST2025
Density estimation via periodic scaled Korobov kernel method with exponential decay condition
Ziyang Ye, Haoyuan Tan, Xiaoqun Wang +1
We propose the periodic scaled Korobov kernel (PSKK) method for nonparametric density estimation on . By first wrapping the target density into a periodic version thr…