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

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  • Oleh Lopushansky

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.

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  • Oleh Lopushansky, 2014. "Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, August.
    • Handle: RePEc:hin:jnlaaa:631503
    DOI: 10.1155/2014/631503
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