Erratum to: Perturbation and interpolation theorems for the \(H ^{\infty }\)-calculus with applications to differential operators. (English) Zbl 1277.47020
Points out the possibly necessary addition of an assumption for some of the general boundedness results in Sections 7 and 8 of [Math. Ann. 336, No. 4, 747–801 (2006; Zbl 1111.47020)].
MSC:
| 47A60 | Functional calculus for linear operators |
| 35J10 | Schrödinger operator, Schrödinger equation |
| 35J15 | Second-order elliptic equations |
| 42B30 | \(H^p\)-spaces |
| 46B70 | Interpolation between normed linear spaces |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 47F05 | General theory of partial differential operators |
Citations:
Zbl 1111.47020References:
| [1] | Farwig R., Sohr H.: Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. J. Math. Soc. Jpn. 46(4), 607-643 (1994) · Zbl 0819.35109 · doi:10.2969/jmsj/04640607 |
| [2] | Kalton N.J., Kunstmann P.C., Weis L.: Perturbation and interpolation theorems for the H∞-calculus with applications to differential operators. Math. Ann. 336, 747-801 (2006) · Zbl 1111.47020 · doi:10.1007/s00208-005-0742-3 |
| [3] | Kalton N.J., Mitrea M.: Stability results on interpolation scales of quasi-Banach spaces and applications. Trans. Am. Math. Soc. 350(10), 3903-3922 (1998) · Zbl 0902.46002 · doi:10.1090/S0002-9947-98-02008-X |
| [4] | Triebel H.: Interpolation, function spaces, differential operators, vol. 18. North-Holland Mathematical Library, Amsterdam (1978) · Zbl 0387.46032 |
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