The results of the superposition operator on sequence space $bv_{p}$

نویسندگان

1 Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran

2 Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran

3 Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran

doi
10.22075/ijnaa.2022.27943.3766
چکیده

In this paper, the conditions for the superposition operators were provided to map the space $bv_{p}$ into $b v_{q}$, where $1 \leq p$, $q<\infty$. Additionally, we presented the necessary and sufficient conditions under which superposition operators become bounded, continuous and uniformly continuous on the sequence space $b v_{p}$.