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arXiv · 1907.05439

Commutant lifting and Nevanlinna-Pick interpolation in several variables

Deepak K. D.·Deepak Pradhan·Jaydeb Sarkar·Dan Timotin
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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 $\mathbb{C}^n$. 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.

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Deepak K. D., Deepak Pradhan, Jaydeb Sarkar, Dan Timotin. 2019-07-11. Commutant lifting and Nevanlinna-Pick interpolation in several variables. https://arxiv.org/abs/1907.05439

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