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.

Highlights

  • The editorial board announced this article has been retracted on November 16, 2020

  • If you have any further questions, please contact us at: jmr@ccsenet.org Article Title: nctional Calculus on Real Interpolation Spaces for the Series Generators of C_0-groups Journal Title: Journal of Mathematics Research ISSN 1916-9795 E-ISSN 1916-9809 Volume and Number: Vol 11, No 5, 2019

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