Bargetz, C., Nigsch, E., & Ortner, N. (2023). Projective descriptions of spaces of functions and distributions. Mathematische Nachrichten, 296(3), 915–937. https://doi.org/10.1002/mana.202100526
topology of uniform convergence on bounded sets, topology of uniform convergence on compact sets; bounded sets; compact sets; distribution spaces; 𝑝-integrable smooth functions
en
Abstract:
We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by seminorms, 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
