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SCUOLA NORMALE SUPERIORE Preprints di Matematica -n. 3 Marzo 2005
 

Summary: SCUOLA NORMALE SUPERIORE
Pisa
Preprints di Matematica - n. 3 Marzo 2005
Operator-Valued H-Calculus in Inter- and
Extrapolation Spaces
MARKUS HAASE
OPERATOR-VALUED H
-CALCULUS IN INTER- AND
EXTRAPOLATION SPACES
MARKUS HAASE
Abstract. We generalize a Hilbert space result by Auscher, McIntosh and
Nahmod to arbitrary Banach spaces X and to not densely defined injective sec-
torial operators A. A convenient tool proves to be a certain universal extra-
polation space associated with A. We characterize the real interpolation space
(X, D(A) R(A)),p as
{x X | t- Re
1(tA)x, t Re
2(tA)x Lp
((0, ); X)}
for a wide range of holomorphic functions 1, 2 and show that in this space

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics