On the proper inclusion property of (discrete) Morrey spaces

2024/07/08 by Runtunuwu, Yohanes I., Lindiarni, Janny, Gunawan, Hendra
#42B35 #46A45 #46B45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2407.05613

Abstract

In this paper, we construct a function which confirms the proper inclusion property of Morrey spaces, by using a relation between a class of functions in Morrey spaces and discrete Morrey spaces. Our particular function is simpler than those constructed by Gunawan et al. in \citegunawan1, gunawan2.

Related

• A Note on Inclusions of Discrete Morrey Spaces
• Proper inclusions of Morrey spaces
• Introduction to Morrey spaces
• Generalised Morrey sequence spaces
• Morrey Sequence Spaces: Pitt's Theorem and compact embeddings