Complex interpolation of vanishing Morrey spaces
Functional Analysis
2019-06-11 v1
Abstract
We give the description of the first and second complex interpolation of vanishing Morrey spaces, introduced in \cite{AS, CF}. In addition, we show that the diamond subspace (see \cite{HNS}) and one of the function spaces in \cite{AS} are the same. We also give several examples for showing that each of the complex interpolation of these spaces is different.
Cite
@article{arxiv.1906.03941,
title = {Complex interpolation of vanishing Morrey spaces},
author = {Denny Ivanal Hakim and Yoshihiro Sawano},
journal= {arXiv preprint arXiv:1906.03941},
year = {2019}
}