Theory of Bergman Spaces

By H. Hedenmalm, B. Korenblum, Kehe Zhu. 2000

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GENERALIZED HILBERT OPERATORS (2012, methodology): “We refer to [5] for the theory of Hardy spaces, and to [6], [13] and [19] for Bergman spaces.”
A Characterization of Besov-type Spaces and Applications to Hankel-type Operators (2008, background): “10 of [4] we have that Ps : L (dAβ) → A p β is a bounded projection (and onto) if and only if β + 1 < (s+ 1)p.”
Stability of Operators and Operator Semigroups (2010, background): “(For basic properties of Bergman spaces see Hedenmalm, Korenblum, Zhu [124] or Bergman [32].”
The $L^p$ boundedness of the Bergman projection for a class of bounded Hartogs domains (2013, methodology): “, when n = k, we can see that the same result holds for the degenerate domain. Our starting point is to study the Bergman projection for the classical Hartogs triangle by following the method used in [7], where they only deal with the unit disk in C. After applying a biholomorphism to transfer the H”
Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions (2002, background): “For references on Bergman spaces see [Z1] and especially [HKZ].”