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Analytic Campanato Spaces and Their Compositions

Analytic Campanato Spaces and Their Compositions

This paper is devoted to characterizing the analytic Campanato spaces $\mathcal{AL}_{p,\eta}$ (including the analytic Morrey spaces, the analytic John-Nirenberg space, and the analytic Lipschitz/H\older spaces) on the complex unit disk $\mathbb D$ in terms of the M\obius mapping and the Littlewood-Paley form, and consequently their compositions with the analytic self-maps …