Isometric multiplication operators and weighted composition operators of BMOA

Abstract

Abstract Let u be an analytic function in the unit disk D $\mathbb{D}$ and φ be an analytic self-map of D $\mathbb{D}$ . We give characterizations of the symbols u and φ for which the multiplication operator M u $M_{u}$ and the weighted composition operator M u , φ $M_{u,\varphi }$ are isometries of BMOA.

Keywords

• Isometric
• Multiplication Operator
• Weighted Composition Operator
• BMOA