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Some estimates for the bilinear fractional integrals on the Morrey space

Some estimates for the bilinear fractional integrals on the Morrey space

In this paper, we are interested in the following bilinear fractional integral operator BI α defined by|y| n-α dy, with 0 < α < n .We prove the weighted boundedness of BI α on the Morrey type spaces.Moreover, an Olsen type inequality for BI α is also given.