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Two classes of bilinear fractional integral operators and their commutators on generalized fractional Morrey spaces

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Published in 2021 at "Journal of Pseudo-Differential Operators and Applications"

DOI: 10.1007/s11868-021-00425-8

Abstract: In this paper, the authors prove that the following form of bilinear fractional integral operator $$\begin{aligned} B_{\alpha }(f,g)(x):=\int _{\mathbb {R}^{n}}\frac{f(x-y)g(x+y)}{|y|^{n-\alpha }}\mathrm {d}y \end{aligned}$$ is bounded from the product of generalized fractional Morrey spaces $${\mathcal {L}}^{p_{1},\eta… read more here.

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