The main purpose of this paper is to establish the weighted inequalities of the oscillation and variation operators for the multilinear Calderón-Zygmund singular integral with a Lipschitz function.
Abstract. Let L be the infinitesimal generator of an analytic semigroup on L 2 (R n ) with Gaussian kernel bound, and let L −α/2 be the fractional integral of L for 0 < α < n . Suppose that b is a locally integral function, then the commutator generated by b andMathematics subject classification (2010): 42B25, 42B20,42B35.
The purpose of this paper is to discuss the boundedness properties of multilinear Calderón-Zygmund operator and its commutator on the generalized weighted Morrey spaces.
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