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In the continuous setting, Morrey spaces have been studied extensively, especially since the late 1960s. Meanwhile, Morrey sequence spaces, which are also known as discrete Morrey spaces, have only been developed by Gunawan et al. since 2018. In this article, we extend some known results on their inclusion properties and their (lack of) uniform nonsquareness to mixed Morrey double-sequence spaces, i.e. Morrey double-sequence spaces equipped with a mixed norm. As in the calculation of three geometric constants of Morrey spaces by Gunawan et al. in 2019, we also compute three geometric constants, namely Von Neumann-Jordan constant, James constant, and Dunkl-Williams constant for mixed Morrey double-sequence spaces. These constants measure uniformly nonsquareness of any Banach space. Through the values of the three constants, we reveal that mixed Morrey double-sequence spaces are not uniformly nonsquare. A relation between mixed Morrey double-sequence spaces and mixed Morrey spaces is also discussed. [ABSTRACT FROM AUTHOR]

In the present paper, we investigate the interpolation of weighted grand Lebesgue spaces by using the complex methods. We establish some inclusion results of complex interpolation between weighted grand Lebesgue spaces. In addition, we show that the first complex interpolation between modified weighted grand Lebesgue spaces coincides with the closure of essentially bounded functions with respect to the norm of the intermediate space. We also show that modified weighted grand Lebesgue spaces are closed under the second complex interpolation method. We also establish the complex interpolation results for (unweighted) grand Lebesgue spaces for distinct parameters τ 0 , τ 1 , and τ. Our results extend the complex interpolation of grand Lebesgue spaces in Hakim et al. (Monatsh Math 184:245–272, 2017). [ABSTRACT FROM AUTHOR]