Distribution Function and Nonincreasing Rearrangement of BC -Valued Functions with BC-Measure

Eryılmaz İ.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.34, sa.3, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s00006-024-01327-w
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This paper investigates the distribution function and nonincreasing rearrangement of BC-valued functions equipped with the hyperbolic norm. It begins by introducing the concept of the distribution function for BC-valued functions, which characterizes valuable insights into the behavior and structure of BC-valued functions, allowing to analyze their properties and establish connections with other mathematical concepts. Next, the nonincreasing rearrangement of BC-valued functions with the hyperbolic norm are studied. By exploring the nonincreasing rearrangement of BC-valued functions, it is aimed to determine how the hyperbolic norm influences the rearrangement process and its impact on the function's behavior and properties.