inner function

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inner function

[¦in·ər ′fəŋk·shən]
(mathematics)
A continuous open mapping of a topological space X into a topological space Y where the inverse image of each point in Y is zero dimensional.
References in periodicals archive ?
With these Hardy inequalities, the Hardy inequalities on rearrangement-invariant Hardy space are established by using the interpolation functor introduced in [15].
The invariant subspaces of Volterra integral operator on the Hilbert Hardy space is studied by Donoghue [8], and a complete characterization of such subspaces in a Banach spaces of analytic functions in the open unit disc, containing the Hardy, Bergman and Dirichlet spaces is obtained in 2008 by Aleman and Korenblum in [4].
It is proved that the maximal operator of the [theta]-means defined in a cone is bounded from the local Hardy space [h.
They are everywhere defined in some special cases on the classical Hardy Space [H.
n] leads to a better understanding of the deviation from the classical Hardy space of the disk setting.
For instance the classical theorem of Beurling [3] on the structure of analytically invariant subspaces of the Hardy space on the torus has been influential in many areas of modern mathematics, ranging from the dilation theory of a contraction, to interpolation problems in function theory or to the probabilistic analysis of time series.
phi]] on the Hardy space, when [phi] is rational self-map of the unit disk U.
infinity]], this space is the dual space of the weighted Hardy space [H.
Three classical examples of p-Frechet spaces, non-locally convex, are the Hardy space [H.
WIELONSKY, On a rational approximation problem in the real Hardy space 112, Theoret.
In [9], Shapiro and Taylor considered the Hilbert-Schmidtness of composition operators on the Hilbert Hardy space and moreover characterized results related to the Dirichlet space.