论文标题
均质$α$调制类型的无条件基础
Unconditional bases for homogeneous $α$-modulation type spaces
论文作者
论文摘要
在本文中，我们构建了与双变量均质$α$调制空间和triebel-lizorkin型相关空间兼容的正顺式基础。该构建基于生成可分离的$α$覆盖，并使用单变量刷功能的精心选择的张量产品。我们表明，关联的系统形成了Triebel-Lizorkin型均质$α$空间的无条件基础。
In this article we construct orthonormal bases compatible with bi-variate homogeneous $α$-modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is based on generating a separable $α$-covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. We show that the associated systems form an unconditional bases for the homogeneous $α$-spaces of Triebel-Lizorkin type.
