变量核分数次积分算子的有界性估计

摘要

By virtue of the spherical harmonic function expansion and interpolation , some mixed norm esti-mates of the directional fractional integral were obtained .Furthermore , on the basis of the estimates , some boundedness of fractional integral operator with variable kernel were established by using the rotations method . The obtained results extended some existed results about fractional integral operator .%利用球面调和函数展开及插值的方法,获得了方向分数次积分算子的混合范数有界性估计;在此有界性估计的基础上,再借助于旋转法,得到了变量核分数次积分算子的部分有界性证明.所得结果扩充了分数次积分算子的若干有界性结论.