Anisotropic variable Campanato-type spaces and their Carleson measure characterizations

Let $$p(\cdot ):\ {\mathbb {R}^n}\rightarrow (0,\infty )$$ be a variable exponent function satisfying the globally log-Hölder continuous condition and A general expansive matrix on $${\mathbb {R}^n}$$ . In this article, authors introduce anisotropic Campanato-type spaces give some applications. Especially, using known atomic finite characterizations of Hardy space $$H_A^{p(\cdot )}(\mathbb {R}^n)$$ , prove that is appropriate dual with full range As applications, first deduce several equivalent these spaces. Furthermore, also tent show their decomposition. Combining obtained theorem, Carleson measure are established.