Some applications of fractional calculus to operator semigroups and functional calculus

• Autorzy: José E. Galé
• Języki publikacji: EN

Abstrakty

EN

We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete L¹ examples.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 26A33: Fractional derivatives and integrals
• 47D03: Groups and semigroups of linear operators
• 47A60: Functional calculus
• 43A20: L 1 -algebras on groups, semigroups, etc.
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 75
• Numer: 1
• Strony: 143-157

Daty

wydano

2007

Twórcy

autor

José E. Galé

• Departamento de Matemáticas, Universidad de Zaragoza, E-50009 Zaragoza, Spain

Identyfikatory

DOI

10.4064/bc75-0-9