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Functional Calculus on Real Interpolation Spaces for the Series Generators of C_0-groups

Author

Listed:
  • Simon Joseph
  • Manal Juma
  • Isra Mukhtar
  • Nagat Suoliman
  • Fatin Saeed

Abstract

In this paper, discus functional calculus properties of C_0-groups on real interpolation spaces using transference principles. Obtain interpolation versions of the classical transference principle for bounded groups and of a recent transference principle for unbounded groups. Then showed in (Markus, H., & Jan, R. 2016) that all group sequence of generators on a Banach space has a bounded H_0^∞-calculus on real interpolation spaces. Additional results are derived from this.

Suggested Citation

  • Simon Joseph & Manal Juma & Isra Mukhtar & Nagat Suoliman & Fatin Saeed, 2019. "Functional Calculus on Real Interpolation Spaces for the Series Generators of C_0-groups," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(5), pages 52-70, October.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:5:p:52
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    More about this item

    Keywords

    functional calculus; transference; operator group; Fourier multiplier; interpolation space;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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