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- W2272738820 abstract "For $0<alpha<n$ , the homogeneous fractional integral operator $T_{Omega,alpha}$ is defined by $$T_{Omega,alpha}f(x)= int_{{Bbb {R}}^{n}}frac{Omega (x-y)}{vert x-yvert ^{n-alpha}}f(y),dy. $$ In this paper we prove that if Ω satisfies some smoothness conditions on $S^{n-1}$ , then $T_{Omega,alpha}$ is bounded from $L^{frac{lambda}{alpha },lambda}({Bbb {R}}^{n})$ to $operatorname {BMO}({Bbb {R}}^{n})$ , and from $L^{p,lambda}({Bbb {R}}^{n})$ ( $frac{lambda}{alpha}< p<infty$ ) to a class of the Campanato spaces $mathcal{L}_{l,lambda }({Bbb {R}}^{n})$ , respectively." @default.
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- W2272738820 date "2016-02-13" @default.
- W2272738820 modified "2023-09-25" @default.
- W2272738820 title "Boundedness of homogeneous fractional integral operator on Morrey space" @default.
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- W2272738820 doi "https://doi.org/10.1186/s13660-016-0999-y" @default.
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