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–Ampère 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–Fantappiè type integrals with \(L^1(b\Omega ,d\lambda )\) functions on the generalized Morrey spaces \(L^{p}_\varrho (b\Omega ,d\lambda )\), with \(p\in (1, \infty )\).

中文翻译：

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复椭球上广义Morrey空间上Cauchy–Fantappiè型积分的交换子

令\（\ Omega \）是属于\（{\ mathbb {C}} ^ n \）中有限类型的有界弱伪凸域的一个域，令\（d \ lambda \）是Monge– \（b \ Omega \）和\（\ varrho \ ge 0 \）上的安培边界量度是一个非递减函数。本文的目的是在广义Morrey空间\ {L上建立带有\（L ^ 1（b \ Omega，d \ lambda）\）函数的Cauchy–Fantappiè型积分换向算子的有界性和紧致性的刻画。^ {p} _ \ varrho（b \ Omega，d \ lambda）\）和\（p \ in（1，\ infty）\）。