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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.

Suggested Citation

  • Oleh Lopushansky, 2014. "Best Approximations in Hardy Spaces on Infinite‐Dimensional Unitary Matrix Groups," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:631503
    DOI: 10.1155/2014/631503
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    References listed on IDEAS

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    1. Oleh Lopushansky, 2013. "Hardy‐Type Space Associated with an Infinite‐Dimensional Unitary Matrix Group," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Oleh Lopushansky, 2013. "Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, July.
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