2019/01/18 by Kukushkin, Maksim V.
#20M05 #26A33(Secondary) #47A10 #47B12(Primary) 47B10 #47B25 #47B28 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1901.06118
In this paper we aim to construct an abstract model of a differential operator with a fractional integro-differential operator composition in final terms, where modeling is understood as an interpretation of concrete differential operators in terms of the infinitesimal generator of a corresponding semigroup. We study such operators as a Kipriyanov operator, Riesz potential, difference operator. Along with this, we consider transforms of m-accretive operators as a generalization, introduce an operator class \mathfrakGα and provide a description of its spectral properties.