Q值函数的Stepanov定理

度量空间之间映射的斯蒂潘诺夫定理

Stepanov theorem for mappings between metric spaces

本文在度量空间之间提出一种基于可数图表的度量可微性概念，并证明了其在相同假设下的斯蒂潘诺夫型推广的正确性。

海森堡群中内在图的Stepanov可微性定理

Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups

本文在亚黎曼海森堡群中针对内在图建立并证明了Stepanov型可微性定理，推广了经典可微性结果。

Kirszbraun's extension theorem fails for Almgren's multiple valued functions

We show that there is no analog of Kirszbraun's extension theorem for Almgren's multiple valued functions.

A C^k Lusin Approximation Theorem For Real-Valued Functions on Carnot Groups

We study the Lusin approximation problem for real-valued measurable functions on Carnot groups. We prove that k-approximate differentiability almost everywhere is equivalent to admitting a Lusin approximation by $C^{k}_{\mathbb{G}}$ maps. We also prove that existence of an approximate (k-1)-Taylor polynomial almost everywhere is equivalent to admitting a Lusin approximation by maps in a suitable Lipschitz function space.

$φ-$fixed point theorems in $C^{\ast}-$algebra valued partial metric spaces

In this present article, we etablish some existence results of $φ-$fixed point of a mapping in a $C^{\ast}$-algebra valued metric spaces and we deduce some fixed point theorems in $C^{\ast}$-algebra valued partial metric spaces. Non-trivial examples are further provided to support the hypotheses of our results.

赋值域上的非阿基米德阿伦斯 - 埃尔斯等距嵌入定理

A non-Archimedean Arens--Eells isometric embedding theorem on valued fields

研究非阿基米德赋值域上的等距嵌入问题，通过证明得出对于非阿基米德赋值域\(K\)，每个超度量空间可等距嵌入到\(K\)的赋值域扩张中，且嵌入像在\(K\)上代数无关，推广了阿伦斯 - 埃尔斯等距嵌入定理。