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


  •  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.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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