Two Predualities and Three Operators over Analytic Campanato Spaces

Abstract

This article is devoted to not only characterizing the first and second preduals of the analytic Campanato spaces (${\mathcal{C}\mathcal{A}}_p)$ on the unit disk, but also investigating boundedness of three operators: superposition (${\mathsf{S}}^{\varphi }$); backward shift (${\mathsf{S}}_{\mathsf{b}}$); Schwarzian derivative ($\mathsf{S}$), acting on ${\mathcal{C}\mathcal{A}}_p$.

arXiv comment17 pages

References in corpus (1)

• Analytic Campanato Spaces and Their Compositions

Cited by in corpus (2)

• The pseudoanalytic extensions for some spaces of analytic functions
• Holomorphic Campanato Spaces on the Unit Ball