Commutant Lifting and Nevanlinna–Pick Interpolation in Several Variables

Authors

K. D. Deepak, Indian Statistical Institute Bangalore
Deepak Kumar Pradhan, Indian Statistical Institute Bangalore
Jaydeb Sarkar, Indian Statistical Institute Bangalore
Dan Timotin, Institute of Mathematics of the Romanian Academy

Article Type

Research Article

Publication Title

Integral Equations and Operator Theory

Abstract

This paper concerns a commutant lifting theorem and a Nevanlinna–Pick type interpolation result in the setting of multipliers from vector-valued Drury–Arveson space to a large class of vector-valued reproducing kernel Hilbert spaces over the unit ball in Cn. The special case of reproducing kernel Hilbert spaces includes all natural examples of Hilbert spaces like Hardy space, Bergman space and weighted Bergman spaces over the unit ball.

DOI

10.1007/s00020-020-02582-9

Publication Date

6-1-2020

Comments

Open Access, Green

Recommended Citation

Deepak, K. D.; Pradhan, Deepak Kumar; Sarkar, Jaydeb; and Timotin, Dan, "Commutant Lifting and Nevanlinna–Pick Interpolation in Several Variables" (2020). Journal Articles. 262.
https://digitalcommons.isical.ac.in/journal-articles/262