Non-squareness and local uniform non-squareness properties of Orlicz-Lorentz function spaces endowed with the Orlicz norm

赋予球基的抽象加权Orlicz-Morrey空间上一类Ψ有界振荡算子的交换子及其应用

Commutators of a class of $Ψ$-bounded oscillation operators on abstract weighted Orlicz-Morrey spaces endowed with ball-basis and applications

本文研究赋予球基的抽象加权Orlicz-Morrey空间上Ψ有界振荡算子的交换子，得到其逐点稀疏控制结果与有界性，还证明了相关块空间的对偶性，丰富了相关空间理论。

抽象 Orlicz-Morrey 空间及其应用

A class of \(Ψ\)-bounded oscillation operators on abstract Orlicz-Morrey spaces endowed with a ball-basis and their applications

引入基于球基的抽象 Orlicz-Morrey 空间，通过稀疏控制技术建立 Ψ-有界振荡算子的点态估计和范数不等式，推广了经典 Orlicz-Morrey 空间及相关算子理论。

Compact subsets of $\Ps(\N)$ with applications to the embedding of symmetric sequence spaces into $C(α)$

Let $\Ps(\N)$ be the set of all finite subsets of $\N$, endowed with the product topology. A description of the compact subsets of $\Ps(\N)$ is given. Two applications of this result to Banach space theory are shown : (1) a characterization of the symmetric sequence spaces which embed into $C(\om^\om)$, and (2) a characterization, in terms of the Orlicz function $M$, of the Orlicz sequence spaces $h_M$ which embed into $C(K)$ for some countable compact Hausdorff space $K$.

带 $\alpha$-齐次权重的加权 Sobolev 嵌入中的最优函数空间

Optimal function spaces in weighted Sobolev embeddings with $α$-homogeneous weights

本文研究带 $\alpha$-齐次权重的加权 Sobolev 不等式，建立约化原理并刻画最优重排不变目标与定义域空间，通过 Lorentz--Karamata 空间类给出具体例子。

具有无条件基的巴拿赫空间上全纯函数的单项式基

Monomial bases for holomorphic functions on Banach spaces with an unconditional basis

本文针对具有无条件基的复巴拿赫空间，证明特定排序的单项式构成其带紧开拓扑的整全纯函数空间的Schauder基，并将结果应用于多类巴拿赫序列格与向量值E-和空间。