Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904644 | Advances in Mathematics | 2018 | 33 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Alexandru Aleman, Michael Hartz, John E. McCarthy, Stefan Richter,