In this paper, we introduce Morrey-Herz spaces MKq.p(·)α(·),λ with variable exponents α(·) and p(·), and prove the boundedness of multilinear Calderdn-Zygmund singular operators on the product of these spaces.
In this paper, we introduce new Triebel–Lizorkin and Besov Spaces associated with the different homogeneities of two singular integral operators. We then establish the boundedness of composition of two Calder′on–Zygmund singular integral operators with different homogeneities on these Triebel–Lizorkin and Besov spaces.