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Extension of functions with bounded mean oscillation

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Abstract

The question of extension of functions with bounded mean oscillation (BMO) in one dimension is considered. A method of construction of an extension for which the estimate of its norm is equivalent to the best one is proposed.

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References

  1. J. B. Garnett, Bounded Analytic Functions, Acad. Press, New York, 1981.

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  2. F. John and L. Nirenberg, “On functions of bounded mean oscillation,” Comm. Pure Appl. Math., 14, No. 3, 415–426 (1961).

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  3. A. A. Korenevskii, “On the connection between mean oscillations and exact summability indices of functions,” Matem. Sb., 181, No. 12, 1721–1727 (1990).

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Authors and Affiliations

  1. Institute of Mathematics, Economics, and Mechanics, I. I. Mechnikov Odessa National University, 2, Dvoryanskaya Str., Odessa, 65026, Ukraine

    Ruslan V. Shanin

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  1. Ruslan V. Shanin
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Correspondence to Ruslan V. Shanin.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 10, No. 3, pp. 397–411, July–August, 2013.

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Shanin, R.V. Extension of functions with bounded mean oscillation. J Math Sci 196, 693–704 (2014). https://doi.org/10.1007/s10958-014-1686-5

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  • DOI: https://doi.org/10.1007/s10958-014-1686-5

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