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arXiv · 1406.0465

Convenient descriptions of weight functions in time-frequency analysis

Carmen Fernandez·Antonio Galbis·Joachim Toft
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Abstract

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.

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Carmen Fernandez, Antonio Galbis, Joachim Toft. 2014-05-30. Convenient descriptions of weight functions in time-frequency analysis. https://arxiv.org/abs/1406.0465

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