Complete Nevanlinna-Pick kernels, the Schwarz lemma and the Schur algorithm

2023/12/03 by Alpay, Daniel, Bhattacharyya, Tirthankar, Jindal, Abhay +1
#30C80 #32A38 #46E22 #47B32 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2312.01287

Abstract

We investigate the Schwarz lemma and the Schur algorithm for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space on the open unit ball whose kernel satisfies the complete Nevanlinna-Pick property. This paper also explores the Poincaré contractivity for elements in the unit ball of the multiplier algebra of a reproducing kernel Hilbert space whose kernel satisfies the property mentioned above.

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