Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces
Summary: A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels in \(W\mathcal F_\beta(S^{n-1})\), which relates to the Grafakos-Stefanov function class. Certain boundedness and continuity for these operators on Triebel-Lizorkin spaces and Besov spaces are proved by applying some criterions of bounds and continuity for several operators on the above function spaces.
scientific article; zbMATH DE number 6868712
scientific article