Wiener Amalgam Spaces with respect to Quasi-Banach Spaces

Holger Rauhut

Wiener Amalgam Spaces with respect to Quasi-Banach Spaces

Functional Analysis 2007-05-23 v1

Authors: Holger Rauhut

Abstract

We generalize the theory of Wiener amalgam spaces on locally compact groups to quasi-Banach spaces. As a main result we provide convolution relations for such spaces. Also we weaken the technical assumption that the global component is invariant under right translations, which is even new for the classical Banach space case. To illustrate our theory we discuss in detail an example on the $ax+b$ group.

Keywords

wiener amalgam spaces quasi-banach spaces locally compact groups convolution relations right translations

Cite

@article{arxiv.math/0507465,
  title  = {Wiener Amalgam Spaces with respect to Quasi-Banach Spaces},
  author = {Holger Rauhut},
  journal= {arXiv preprint arXiv:math/0507465},
  year   = {2007}
}

Comments

20 pages

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