Some results concerning Riesz–Bessel transforms of high order

KAYA E.

Mathematical Methods in the Applied Sciences, cilt.46, sa.14, ss.15909-15918, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 14
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mma.9459
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.15909-15918
  • Anahtar Kelimeler: sharp function, singular integral operator, variable Lebesgue space
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In the present study, we introduce the sharp function related to the Laplace–Bessel differential operator and investigate its properties on the variable Lebesgue spaces. Moreover, we obtain that Riesz–Bessel transforms of high order are bounded on variable Lebesgue spaces (Figure presented.).