2 papers
math.FA2025
Finite-dimensional model spaces invariant under composition operators
P. Muthukumar, Jaydeb Sarkar, Batzorig Undrakh
Finite-dimensional model spaces are quotient spaces of the Hardy space on the open unit disc, determined by finite Blaschke products. Composition operators, on the other hand, act…
math.FA2017
Rational dilation problems associated with constrained algebras
Michael A. Dritschel, Batzorig Undrakh
It is shown that rational dilation fails on broad collection of distinguished varieties associated to constrained subalgebras of the disk algebra of the form C + B A(D), where B is…