Approximation in Morrey spaces

作者：Almeida Alexandre^*; Samko Stefan

来源：Journal of Functional Analysis, 2017, 272(6): 2392-2411.

DOI：10.1016/j.jfa.2016.11.015

• Morrey space
• Vanishing properties
• Approximation
• Convolution

A new subspace of Morrey spaces whose elements can be approximated by infinitely differentiable compactly supported functions is introduced. Consequently, we give an explicit description of the closure of the set of such functions in Morrey spaces. A generalisation of known embeddings of Morrey spaces into weighted Lebesgue spaces is also obtained.

• 出版日期2017-3-15