2023/07/13 by Ramlal Debnath, Debnath, Ramlal, Deepak Kumar Pradhan +3
Mathematics · #30H05 #30J05 #32A10 #42B30 #46J15 #47A15 #47A46 #47L80 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.2307.06744
openalex publication_date 2023/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Orthogonal projections onto closed subspaces of H2(\mathbbDn) of the form φH2(\mathbbDn) for inner functions φ on \mathbbDn are referred to as inner projections, where H2(\mathbbDn) denotes the Hardy space over the open unit polydisc \mathbbDn. In this paper, we classify pairs of commuting inner projections. We also present two seemingly independent applications: the first is an answer to a question posed by R. G. Douglas, and the second is a complete classification of partially isometric truncated Toeplitz operators with inner symbols on the polydisc.