Characterizations of domains of fractional powers for non-negative operators

DOI10.1016/j.jmaa.2015.10.032zbMath1326.47001OpenAlexW1791899054MaRDI QIDQ892314

Chuang Chen, Miao Li

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.032

zbMATH Keywords

fractional powersfractional resolvent familiesfunctional calculiKomatsu spacesnon-negative operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Functional calculus for linear operators (47A60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• Resolvent characterisation of generators of cosine functions and \(C_0\)-groups
• On fractional powers of generators of fractional resolvent families
• Some results about complex powers of closed operators
• Fractional powers of closed operators and the semigroups generated by them
• The group reduction for bounded cosine functions on UMD spaces
• Fractional powers of dissipative operators
• A note on fractional derivatives of semigroups and cosine functions
• On spectral inclusions and approximations of \(\alpha\)-times resolvent families
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Fractional powers of operators with polynomially bounded resolvent and the semigroups generated by them
• Fractional powers of operators of regularized type
• Kato's square root problem in Banach spaces
• The functional calculus for sectorial operators
• Fractional powers of operators. II: Interpolation spaces
• Fractional powers of operators. III: Negative powers. IV: Potential operators
• Real interpolation of domains of sectorial operators on \(L_p\)-spaces
• Suitable domains to define fractional integrals of Weyl via fractional powers of operators
• Note on fractional powers of linear operators
• Abstract Parabolic Evolution Equations and their Applications
• One-Parameter Semigroups for Linear Evolution Equations
• Fractional powers of operators
• Analytic semigroups and optimal regularity in parabolic problems
• Fractional powers of operators
• On operator cosine functions in UMD spaces