Limiting Case for Interpolation Spaces Generated by Holomorphic Semigroups
- 12 Downloads
)t≥0 on X. We denote by XA(θ,p), for 0 < θ < 1, the interpolation spaces of X and D(A) introduced by Berens and Butzer in . These spaces play an important role in the approximation theory (  ) as well as in the study of the abstract parabolic equation u′ (t) = Au(t) + f(t) (  ). It has been proved in  that these spaces are meaningful (and still enjoy relevant properties) also in the case θ = 0. In this paper we continue the study of  and prove new interesting properties of these spaces.
KeywordsParabolic Equation Interesting Property Relevant Property Approximation Theory Interpolation Space
Unable to display preview. Download preview PDF.