The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. The paper is oriented to the boundedness of the operator on products of Morrey spaces. This paper uses some averaging techniques to control the Morrey norm. Compared to the earlier work by He and Yan, one feels that the technique can be applied to other function spaces. Among others, the averaging operator will reduce the matters to the existing results.
|Number of pages||8|
|Journal||Transactions of A. Razmadze Mathematical Institute|
|Publication status||Published - Dec 2019|
- Morrey spaces; Bilinear fractional integral operators
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