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Approximation in generalized Morrey spaces

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Abstract In this paper we study the approximation of functions from generalized Morrey spaces by nice functions. We introduce a new subspace whose elements can be approximated by infinitely differentiable… Click to show full abstract

Abstract In this paper we study the approximation of functions from generalized Morrey spaces by nice functions. We introduce a new subspace whose elements can be approximated by infinitely differentiable compactly supported functions. This provides, in particular, an explicit description of the closure of the set of such functions in generalized Morrey spaces.

Keywords: approximation generalized; morrey spaces; generalized morrey

Journal Title: Georgian Mathematical Journal
Year Published: 2018

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