本文研究了一类(θ,N)-型分数次积分算子在齐次加权Morrey Herz空间上的有界性.利用对函数进行环形分解技术和算子截断的方法,获得了(θ,N)-型分数次积分算子Ts(f)从M(K)a,λ p,q1(ω1,ωq12)空间到M(K)a,λ p,q2(ω1,ωq22)空间是有界的.
This paper studies the boundedness of the (θ, N)- type fractional integral operatorson the weighted homogeneous Morrey-Herz spaces. By studying ring decomposition of functions and truncated operators, it proves that the (θ, N) type fractional integral operatorsT,(f) is bounded from M(K)a,λ p,q1(ω1,ωq12 space to M(K)a,λ p,q2(ω1,ωq22) space.