Factorizations induced by complete Nevanlinna–Pick factors
Research output: Contribution to journal › Article
We prove a factorization theorem for reproducing kernel Hilbert spaces whose kernel has a normalized complete Nevanlinna–Pick factor. This result relates the functions in the original space to pointwise multipliers determined by the Nevanlinna–Pick kernel and has a number of interesting applications. For example, for a large class of spaces including Dirichlet and Drury–Arveson spaces, we construct for every function f in the space a pluriharmonic majorant of |f|2 with the property that whenever the majorant is bounded, the corresponding function f is a pointwise multiplier.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Number of pages||33|
|Journal||Advances in Mathematics|
|State||Published - 2018 Sep 7|