Year: 2025
Type: article
Abstract: In this paper, we calculate the value of new geometric constants for the Morrey spaces and small Morrey spaces. The new geometric constants which were investigated are generalizations of the other new constants $\Omega(X)$ and $\overline{\Omega}(X)$ for Banach spaces $X$. The two constants are related to isosceles orthogonal type and introduced by Liu \textit{et al} in 2022. We introduce the generalizations of the constants which are denoted by $\Omega^{(s)}(X)$ and $\overline{\Omega}^{(s)}(X)$ for $s \geq 1$. We calculate the value of each of the constants for Morrey spaces $\mathcal{M}_q^p$ and small Morrey spaces $m_{q,\lambda}^p$. The results show that $\Omega^{(s)}(\mathcal{M}_q^p) = \frac{2^{s+1}}{5^{s-1}}$ and $\overline{\Omega}^{(s)}(m_{q,\lambda}^p) = \frac{2^{s+1}}{5^{s-1}}.$
Author: Yusuf Ramadana
Institution: State University of Makassar
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411765906