The Restriction Operator on Bergman Spaces

Motivated by questions related to the compactness of the ∂ ¯ -Neumann operator, we study the restriction operator from the Bergman space of a domain in C n to the Bergman space of a non-empty open subset of the domain. We relate the restriction operator to the Toeplitz operator on the Bergman space...

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Veröffentlicht in:	The Journal of Geometric Analysis 2020-04, Vol.30 (2), p.2157-2188
Hauptverfasser:	Chakrabarti, Debraj, Şahutoğlu, Sönmez
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Characteristic functions Convex and Discrete Geometry Differential Geometry Domains Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics
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