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

Simon Joseph, Manal Juma, Isra Mukhtar, Nagat Suoliman and Fatin Saeed

Journal of Mathematics Research, 2019, vol. 11, issue 5, 52-70

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.

Keywords: functional calculus; transference; operator group; Fourier multiplier; interpolation space (search for similar items in EconPapers)
Date: 2019
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