IUMJ

Title: Analytic Campanato Spaces and Their Compositions

Authors: Jie Xiao and Cheng Yuan

Issue: Volume 64 (2015), Issue 4, 1001-1025

Abstract:

This article is devoted to characterizing the so-called 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 mappings and the Littlewood-Paley forms, and consequently their compositions with the analytic self-maps of $\mathbb{D}$.