Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces

Let (p) over right arrow is an element of(0,infinity)(n) and A be a general expansive matrix on R-n. In this article, the authors first introduce some new anisotropic mixed-norm Campanato-type space associated with A. Then the authors prove that this Campanato-type space is the dual space of the anisotropic mixed-norm Hardy space H-A(p) over right arrow ->(R-n for any given (p) over right arrow -> is an element of(0, infinity)(n) which further implies several equivalent characterizations of this Campanato-type space. Finally, as further applications, the authors establish the Carleson measure characterization of this Campanato-type space via first introducing the anisotropic mixed-norm tent space and establishing its atomic decomposition. In particular, even when the expansive matrix A is a diagonal matrix, all these results are new and, even in this case, the obtained dual result gives a complete answer to one open question proposed by Cleanthous et al. (J Geom Anal 27: 2758-2787, 2017).