时频分析中权函数的简便描述
Convenient descriptions of weight functions in time-frequency analysis
摘要：
令$v$为子乘权重。然后证明了$v$满足GRS条件，当且仅当对每个正的$\ep$，$v\cdot e^{-\ep |\cdo |}$有界.我们使用这种等价性来建立加权Lebesgue空间之间的识别性质，以及某些调制空间和Gelfand-Shilov空间之间的识别性质。
英文摘要：
Let $v$ be a submultiplicative weight. Then we prove that $v$ satisfies GRS-condition, if and only if $v\cdot e^{-\ep |\cdo |}$ is bounded for every positive $\ep$. We use this equivalence to establish identification properties between weighted Lebesgue spaces, and between certain modulation spaces and Gelfand-Shilov spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
