Abstract

PEREZ-LOPEZ, Jhean E.. Approximation properties on Herz spaces. Integración - UIS [online]. 2017, vol.35, n.2, pp.215-223. ISSN 0120-419X.  https://doi.org/10.18273/revint.v35n2-2017005.

In this paper we consider the Herz spaces Kα p,q, which are a natural generalization of the Lebesgue spaces Lp. We prove some approximation properties such as density of the space C ∞ c (R n), continuity of the translation, continuity of the mollification, global behavior of the convolution with smooth functions, among others.

MSC2010: 26B05, 26B35, 26B99.

Keywords : Herz spaces; Mollifiers; Convolution; Functional spaces.

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