References
Berens, H., and P.L. Butzer,Approximation theorems for semigroup operators in intermediate spaces, Bull. Amer. Math. Soc.70 (1964), 689–692.
Butzer, P.L. and H. Berens, “Semigroups of Operators and Approximation,” Springer Verlag, Berlin, (1967).
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).
Da Prato, G., and P. Grisvard,Somme d’opérateurs linéaires et équations differentielle opérationelles, J. Math. Pures Appl.54 (1975), 305–387.
Di Blasio, G.,Linear abstract parabolic equations in L p spaces, Ann. Mat. Pure Appl. IV (1984), 55–104.
Henry, D., “Geometric Theory of Semilinear Parabolic Equations,” Lect. Notes Math.840 (1981).
Peetre, J.,Espaces intermédiaires et la théorie constructive des fonctions, C.R. Acad. Sc. Paris256 (1963), 54–55.
Peetre, J.,Nouvelles propriétés d’espaces d’interpolation, C.R. Acad. Sc. Paris256 (1963), 1424–1426.
Peetre, J.,On an equivalence theorem of Taibleson, Lund (1964) (unpublished manuscript).
Taibleson, M.H.,On the theory of Lipschitz spaces of distributions on Euclidian n-spaces, J. Math. Mech.13 (1964), 407–479.
Triebel, H., “Interpolation Theory, Function Spaces, Differential Operators,” North-Holland, Amsterdam (1978).
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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
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DOI: https://doi.org/10.1007/BF02573229