Hardy Spaces and Toeplitz operators on the Pentablock

Guicong Su, Nitin Tomar

The pentablock is a domain in ${\mathbb{C}}^3$ arising in the study of the $\mu$-synthesis problem and is defined by \[ \mathcal P = \left\{ (a_{21},\operatorname{tr}(A),\det(A)): A=[a_…