Compact Operators on Bergman Spaces

By Jie Miao, Dechao Zheng. 2004

54 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/4d67bcd4b6a8766413b39b8569beb98bce2a823a

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In Applied Mathematics

1. Wolfram Bauer
2. Joshua Isralowitz

Citations in the corpus

• Compactness characterization of operators in the Toeplitz algebra of the Fock space $F_\alpha ^p$ (2011, background): “mediately follows. Note that clearly L∞ (BT since for example, S p≥1L p(Cn,dv) ⊂ BT.(Also, note that the space BT has appeared in the literature in both the Bergman space and Fock space settings, see [10, 14, 20] for example.) Now let Tp := Tp(X)where Xis any one of these three classes of functions.”