The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces

Syaifudin, Rizky Aziz
Karim, Corina
Marjono, Marjono
Rahman, Hairur

CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces using Hedberg-type inequality.  The first, in this paper will be discuss to prove Hedberg-type inequality on small Morrey spaces using dyadic decomposition, H lder inequality, and doubling condition. Furthermore, by using the inequality, it can be proven that the boundedness of generalized fractional integral operators on small Morrey spaces.