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Factorizations induced by complete Nevanlinna-Pick factors. (arXiv:1708.05593v2 [math.FA] UPDATED)
来源于:arXiv
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. 查看全文>>