Sectorial Operators and Interpolation Theory
نویسنده
چکیده
We present a survey of recent applications of interpolation ideas in the study of sectorial operators.
منابع مشابه
REAL INTERPOLATION OF DOMAINS OF SECTORIAL OPERATORS ON Lp-SPACES
Let A be a sectorial operator on a non-atomic Lp-space, 1 ≤ p < ∞, whose resolvent consists of integral operators, or more generally, has a diffuse representation. Then the fractional domain spaces D(Aα) for α ∈ (0, 1) do not coincide with the real interpolation spaces of (Lq , D(A)). As a consequence, we obtain that no such operator A has a bounded H∞-calculus if p = 1.
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