Dahliatul Hasanah, Hendra Gunawan
Despite being a generalization of Lebesgue spaces, Morrey spaces cannot be approximated by smooth functions. A subspace of a Morrey space was introduced in 1986 called a Zorko space whose every member could be approximated by smooth functions with compact support. As in the concept of differentiation in which the symmetric derivative has its advantages over the classical one, we modify the Zorko space into the symmetric types of Zorko spaces. In this paper, we discuss the relations of the Zorko space and the symmetric types of Zorko spaces. Some examples are provided to describe further the new subspaces. We also present the closedness and convolution properties of the symmetric types of Zorko spaces. © 2024 Author(s).
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Bandung Institut of Technology, Jl. Ganesa No. 10, Bandung, Indonesia; Department of Mathematics, FMIPA, Universitas Negeri Malang, Jl. Semarang No. 5, Malang, Indonesia
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