Best Approximations in Hardy Spaces on Infinite‐Dimensional Unitary Matrix Groups

Oleh Lopushansky

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We investigate the problem of best approximations in the Hardy space of complex functions, defined on the infinite‐dimensional unitary matrix group. Applying an abstract Besov‐type interpolation scale and the Bernstein‐Jackson inequalities, a behavior of such approximations is described. An application to best approximations in symmetric Fock spaces is shown.

Date: 2014
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https://doi.org/10.1155/2014/631503

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:631503

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