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

Author

Lopushansky, Oleh

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-08-05

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Lopushansky, Oleh. 2014. Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014396

Modern Language Association (MLA)

Lopushansky, Oleh. Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014396

American Medical Association (AMA)

Lopushansky, Oleh. Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014396

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014396