Commutant Lifting and Nevanlinna–Pick Interpolation in Several Variables
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DOI: 10.1007/s00020-020-02582-9
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… read more here.
Keywords: nevanlinna pick; hilbert spaces; pick interpolation; commutant lifting ... See more keywords
Complete Nevanlinna–Pick kernels and the Schwarz lemma
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DOI: 10.1080/17476933.2025.2454683
Abstract: We prove a Schwarz lemma and Poincaré contractivity for functions in the unit ball of the multiplier algebra of a complete Nevanlinna-Pick reproducing kernel Hilbert space of holomorphic functions. read more here.
Keywords: schwarz lemma; pick kernels; nevanlinna pick; kernels schwarz ... See more keywords
Complex Structure That Admits Complete Nevanlinna–Pick Spaces of Hardy Type
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DOI: 10.1093/imrn/rnae211
Abstract: In this paper, we will characterize those sets, over which every irreducible complete Nevanlinna–Pick space enjoys that its multiplier and supremum norms coincide. Moreover, we will prove that, if there exists an irreducible complete Nevanlinna–Pick… read more here.
Keywords: space; nevanlinna pick; algebra; complete nevanlinna ... See more keywords