English

Projective descriptions of spaces of functions and distributions

Functional Analysis 2022-01-26 v2

Abstract

We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by semi-norms which are defined by a combination of classical norms and multiplication or convolution with certain functions. These seminorms are simpler than the ones given by a supremum over bounded or compact sets.

Keywords

Cite

@article{arxiv.2109.14448,
  title  = {Projective descriptions of spaces of functions and distributions},
  author = {Christian Bargetz and Eduard A. Nigsch and Norbert Ortner},
  journal= {arXiv preprint arXiv:2109.14448},
  year   = {2022}
}

Comments

26 pages