Atomic Decomposition for Mixed Morrey Spaces

In this paper, we consider some norm estimates for mixed Morrey spaces considered by the first author. Mixed Lebesgue spaces are realized as a special case of mixed Morrey spaces. What is new in this paper is a new norm estimate for mixed Morrey spaces that is applicable to mixed Lebesgue spaces as well. An example shows that the condition on parameters is optimal. As an application, the Olsen inequality adapted to mixed Morrey spaces can be obtained.

Automated summary

This paper investigates norm estimates for mixed Morrey spaces, introducing a new norm estimate applicable to mixed Lebesgue spaces with optimal parameter conditions, and applying it to obtain the Olsen inequality for mixed Morrey spaces.