Weighted estimates for differential operators with operator-valued coefficients
Bulletin de la Société Mathématique de France, Tome 115 (1987), pp. 291-307.
@article{BSMF_1987__115__291_0,
     author = {Amrein, W.O. and Boutet de Monvel-Berthier, A. M. and Georgescu, V.},
     title = {Weighted estimates for differential operators with operator-valued coefficients},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {291--307},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {115},
     year = {1987},
     doi = {10.24033/bsmf.2079},
     mrnumber = {89a:34066},
     zbl = {0629.34010},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2079/}
}
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Amrein, W.O.; Boutet de Monvel-Berthier, A. M.; Georgescu, V. Weighted estimates for differential operators with operator-valued coefficients. Bulletin de la Société Mathématique de France, Tome 115 (1987), pp. 291-307. doi : 10.24033/bsmf.2079. http://www.numdam.org/articles/10.24033/bsmf.2079/

[1] Agmon (S.), Lectures on Exponential Decay of Solutions of Second Order Elliptic Equations, Princeton Univ. Press, 1982. | MR | Zbl

[2] Amrein (W. O.), Boutet De Monvel-Berthier (A. M.) and Georgescu (V.), Hardy Type Inequalities for Abstract Differential Operators, Mem. Am. Math. Soc., 375 (1987). 479, 1985 and to appear in Menoirs of A.M.S. (1987). | MR | Zbl

[3] Eidus (D. M.), The Principle of Limit Amplitude, Usp. Math. Nauk, Vol. 24, 1969, pp. 31-156. | MR | Zbl

[4] Froese (R.), Herbst (I.), Hoffmann-Ostenhof (M.), and Hoffmann-Ostenhof (T.), L2-Exponential Lower Bounds to Solutions of the Schrödinger Equation, Comm. Math. Phys., Vol. 87, 1982, pp. 265-286 | MR | Zbl

[5] Froese (R.), Herbst (I.), Hoffmann-Ostenhof (M.) and Hoffmann-Ostenhof (T.), On the Absence of Positive Eigenvalues for One-Body Schrödinger Operators, J d'Anal. Math., Vol. 41, 1982, pp. 272-284. | MR | Zbl

[6] Hardy (G. H.), Littlewood (J. E.) and Polya (G.), Inequalities, Cambridge Univ. Press, 1952. | MR | Zbl

[7] Mochizuki (K.), Growth Properties of Solutions of Second Order Elliptic Differential Equations, J. Math. Kyoto, Vol. 16, 1976, pp. 351-373. | MR | Zbl

[8] Roze (S. N.), On the Spectrum of an Elliptic Operator of Second Order, Mat. Sbornik, Vol. 80, 1969, pp. 183-197 (English translation). | MR | Zbl

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