Bounded Analytic Functions

By J. Garnett. 2006

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INTEGRABILITY OF THE DERIVATIVE OF A BLASCHKE PRODUCT (2007, background): “Even though it is almost 50 years old and is mentioned in [11] and listed as an exercise in [17], it does not seem to be widely used.”
The corona theorem for the Drury–Arveson Hardy space and other holomorphic Besov–Sobolev spaces on the unit ball in $\C^n$ (2008, methodology): “ter, Ho¨rmander noted a connection between the corona problem and the Koszul complex, and in the late 1970’s Tom Wolﬀ gave a simpliﬁed proof using the theory of the ∂equation and Green’s theorem (see [10]). This proof has since served as a model for proving corona type theorems for other Banach alge”
A sharper uncertainty principle (2013, background): “For an introduction to these spaces see [13].”
Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients (2013, neutral): “Since the only function that is orthogonal to all the kernel function kw is the zero function, span{kw : w∈Bd}is dense in H2 d. When d= 1, H2 d = H 2(D) is the usual Hardy space on the unit disc (see [71] for a thorough treatment of H2(D)). 3.3. The multiplier algebra of H2 d . As every Hilbert func”
Topological Structure of the Space of Weighted Composition Operators on H∞ (2005, background): “See [5] for the study of the space M(H∞).”