Boundedness of p -adic fractional integral operators on p -adic Herz spaces with variable exponent

Sultan M., Sultan B., Khan A., Abdeljawad T.

Open Mathematics, vol.24, no.1, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.1515/math-2025-0260
  • Journal Name: Open Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, zbMATH, Directory of Open Access Journals, Technology Collection (ProQuest)
  • Keywords: p-adic fractional integral operators, p-adic Herz spaces with variable exponent, p-adic Lebesgue spaces with variable exponent, p-adic sublinear operators
  • Istanbul Gelisim University Affiliated: Yes

Abstract

The primary objective of this paper is to introduce p-adic Herz spaces with variable exponent. Subsequently, we establish the boundedness of p-adic sublinear operators and p-adic fractional integral operators on these spaces.