Canonical divisors in weighted Bergman spaces

DOI10.1090/S0002-9939-01-06214-1zbMath0988.32001MaRDI QIDQ2759018

Rachel J. Weir

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bergman spacehypergeometric functioncanonical divisor

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials ⋮ Inner functions in weighted Hardy spaces ⋮ Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants ⋮ Quasi-orthogonality and real zeros of some \(_2F_2\) and \(_3F_2\) polynomials ⋮ Extremal functions in weighted Bergman spaces ⋮ Zeros of hypergeometric functions

Cites Work

• Contractive zero-divisors in Bergman spaces
• On optimal recovery of a holomorphic function in the unit ball of \(\mathbb{C}^ n\)
• A factorization theorem for square area-integrable analytic functions.
• On the failure of optimal factorization for certain weighted bergman spaces
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