This paper is a follow up of a recent work of the author and Y. Sawano , in 2019. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in , 1992. When the local integrability index s falls 1 with weights and t exceeds 1, He and Yan obtained some results on this operator was worked on Morrey spaces earlier in  2018. Later in the paper  we considered the case t = 1. This paper handles the remaining case 0 < t < 1.
- Morrey space
- average technique
- bilinear fractional integral operator
- dyadic cube
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