Results for fractional bilinear Hardy operators in central varying exponent Morrey space

Abstract

This paper intends to demonstrate the boundedness of the fractional bilinear Hardy operator and its adjoint on the $ \lambda $-central Morrey space with variable exponents. Analogous outcomes for their commutators are derived when the symbol functions are elements of the $ \lambda $-central bounded mean oscillation ($ \lambda $-central BMO) space.

Keywords

• bilinear hardy operators
• fractional integral
• boundedness
• function space