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

Document Type : Research Paper


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


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 $b v_{p}$.


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Volume 14, Issue 7
July 2023
Pages 309-320
  • Receive Date: 29 July 2022
  • Revise Date: 02 September 2022
  • Accept Date: 27 November 2022
  • First Publish Date: 07 December 2022