Analytic Campanato Spaces and Their Compositions

Abstract

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

arXiv comment23 pages

Cited by in corpus (3)

• Two Predualities and Three Operators over Analytic Campanato Spaces
• The pseudoanalytic extensions for some spaces of analytic functions
• Holomorphic Campanato Spaces on the Unit Ball