2020/04/05 by Sibaprasad Barik, Barik, Sibaprasad, Monojit Bhattacharjee +3
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2004.02254
In this article we study commutant lifting, more generally intertwining lifting, for different reproducing kernel Hilbert spaces over two domains in ℂn, namely the unit ball and the unit polydisc. The reproducing kernel Hilbert spaces we consider are mainly weighted Bergman spaces. Our commutant lifting results are explicit in nature and that is why these results are new even in one variable (n=1) set up.