On multidimensional Bochner-Phillips functional calculus

2019/02/23 by А. Р. Миротин, Mirotin, A. R.
Mathematics · #47A60 #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1902.08762

openalex publication_date 2019/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The functional calculus of semigroup generators, based on the class of Bernstein functions in several variables is developed, the condition for holomorphy of semigroups, generated by operators which arisen in the calculus is given, and in the one-dimensional case the moment inequality for such operators is proved.

Related

• On some properties of multidimensional Bochner-Phillips functional calculus
• On the connections of Hille-Phillips functional calculus with Bochner-Phillips functional calculus
• Bernstein functions of several semigroup generators on Banach spaces under bounded perturbations. II
• Bounded perturbations of Bernstein functions of several operator variables
• Generation of subordinated holomorphic semigroups via Yosida's theorem