2023/12/14 by Mirotin, A. R.
#47A60 #47D03 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2312.09229
Let ψ be a Bernstein function in one variable. A.~Carasso and T.~Kato obtained necessary and sufficient conditions for ψ to have a property that ψ(A) generates a quasibounded holomorphic semigroup for every generator A of a bounded C0-semigroup in a Banach space and deduced necessary conditions as well. We generalize their results to the multidimensional case and also give sufficient conditions for the property mentioned above.