The inhomogeneous Calderón-Zygmund operators on weak local Hardy spaces associated with ball quasi-Banach function spaces

Let X be a ball quasi-Banach function space on R^n , WX be the weak ball quasi-Banach function space on R^n , h_X be the local Hardy space associated with X. In this paper, we introduce the weak local Hardy-type space W h_X associated with X via using maximal function characterization. Moreover, we obtain the boundedness of in homogeneous Calder?n-Zygmund operators from h_X to WX or W h_X . All these results have a wide range of generality and, particularly, to our best knowledge, even when they are applied to the Morrey spaces, Orlicz-slice spaces and mixed-norm Lebesgue spaces, the results in this paper are also new.