2023
DOI: 10.1002/mana.202100526
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Projective descriptions of spaces of functions and distributions

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. K E Y W O R D Sbounded sets, compact sets, distribution spaces, 𝑝-integrable smooth functions, topology of uniform convergence on bounded sets, topology … Show more

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