Optimal estimates for the semigroup generated by the classical Volterra operator on \(L _{p }\)-spaces

DOI10.1007/S00233-011-9317-7zbMath1250.47044OpenAlexW1996419387MaRDI QIDQ766201

Oleksandr Gomilko

Publication date: 23 March 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-011-9317-7

zbMATH Keywords

Volterra operatoroperator semigroup\(L _{p}\)-space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Integral operators (47G10)

Related Items (1)

A short counterexample to the inverse generator problem on non-Hilbertian reflexive \(L^p\)-spaces

Cites Work

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• Orbits of operators commuting with the Volterra operator
• Inverses of Generators
• The power boundedness and resolvent conditions for functions of the classical Volterra operator
• Inverses of generators of nonanalytic semigroups
• Inverse operator of the generator of aC₀-semigroup
• Uniform Abel–Kreiss boundedness and the extremal behaviour of the Volterra operator
• Remarks on Ergodic Theorems
• Fractional powers of operators

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