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.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…
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…