Boundedness of homogeneous fractional integral operator on Morrey space
Abstract For 0 < α < n $0<\alpha<n$ , the homogeneous fractional integral operator T Ω , α $T_{\Omega,\alpha}$ is defined by T Ω , α f ( x ) = ∫ R n Ω ( x − y ) | x − y | n − α f ( y ) d y . $$T_{\Omega,\alpha}f(x)= \int_{{\Bbb {R}}^{n}}\frac{\Omega (x-y)}{\vert x-y\vert ^{n-\alpha}}f(y)...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-0999-y |