Skip to main content
Log in

Characterization of interpolation spaces and regularity properties for holomorphic semigroups

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Berens, H., and P.L. Butzer,Approximation theorems for semigroup operators in intermediate spaces, Bull. Amer. Math. Soc.70 (1964), 689–692.

    Article  MATH  MathSciNet  Google Scholar 

  2. Butzer, P.L. and H. Berens, “Semigroups of Operators and Approximation,” Springer Verlag, Berlin, (1967).

    Google Scholar 

  3. Cannarsa, P., and V. Vespri,Generation of analytic semigroups in the L p topology by elliptic operators in R n, Israel J. Math. (to appear).

  4. Da Prato, G., and P. Grisvard,Somme d’opérateurs linéaires et équations differentielle opérationelles, J. Math. Pures Appl.54 (1975), 305–387.

    MathSciNet  MATH  Google Scholar 

  5. Di Blasio, G.,Linear abstract parabolic equations in L p spaces, Ann. Mat. Pure Appl. IV (1984), 55–104.

    Article  Google Scholar 

  6. Henry, D., “Geometric Theory of Semilinear Parabolic Equations,” Lect. Notes Math.840 (1981).

  7. Peetre, J.,Espaces intermédiaires et la théorie constructive des fonctions, C.R. Acad. Sc. Paris256 (1963), 54–55.

    MATH  MathSciNet  Google Scholar 

  8. Peetre, J.,Nouvelles propriétés d’espaces d’interpolation, C.R. Acad. Sc. Paris256 (1963), 1424–1426.

    MATH  MathSciNet  Google Scholar 

  9. Peetre, J.,On an equivalence theorem of Taibleson, Lund (1964) (unpublished manuscript).

  10. Taibleson, M.H.,On the theory of Lipschitz spaces of distributions on Euclidian n-spaces, J. Math. Mech.13 (1964), 407–479.

    MathSciNet  Google Scholar 

  11. Triebel, H., “Interpolation Theory, Function Spaces, Differential Operators,” North-Holland, Amsterdam (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Di Blasio, G. Characterization of interpolation spaces and regularity properties for holomorphic semigroups. Semigroup Forum 38, 179–187 (1989). https://doi.org/10.1007/BF02573229

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02573229

Keywords

Navigation