Analytic Campanato Spaces and Their Compositions

作者:Xiao Jie*; Yuan Cheng
来源:Indiana University Mathematics Journal, 2015, 64(4): 1001-1025.
DOI:10.1512/iumj.2015.64.5575

摘要

This article is devoted to characterizing the so-called analytic Campanato spaces AL(p,n) (including the analytic Morrey spaces, the analytic John-Nirenberg space, and the analytic Lipschitz/Holder spaces) on the complex unit disk D in terms of the Mobius mappings and the Littlewood-Paley forms, and consequently their compositions with the analytic self-maps of D.