Interpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domains

DOI10.1142/S0129167X21500269MaRDI QIDQ4993858

Hamzeh Keshavarzi

Publication date: 11 June 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07669

zbMATH Keywords

weighted Bergman spacesinterpolating sequencesstrongly pseudoconvex bounded domains

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Strongly pseudoconvex domains (32T15)

Cites Work

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• BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains
• Composition operators and classical function theory
• Beurling type density theorems in the unit disk
• Power bounded weighted composition operators and power bounded below composition operators
• Interpolations by bounded analytic functions and the corona problem
• Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains
• Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains
• An Interpolation Problem for Bounded Analytic Functions
• Spaces of Holomorphic Functions in the Unit Ball
• Interpolating sequences for weighted Bergman spaces of the ball

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