Commutators of Cauchy–Fantappiè Type Integrals on Generalized Morrey Spaces on Complex Ellipsoids

Let $$\Omega $$ be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in $${\mathbb {C}}^n$$ , let $$d\lambda $$ be the Monge–Ampere boundary measure on $$b\Omega $$ and $$\varrho \ge 0$$ be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappie type integrals with $$L^1(b\Omega ,d\lambda )$$ functions on the generalized Morrey spaces $$L^{p}_\varrho (b\Omega ,d\lambda )$$ , with $$p\in (1, \infty )$$ .