L p -spectrum of Ornstein-Uhlenbeck operators
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 30 (2001) no. 1, pp. 97-124. 
@article{ASNSP_2001_4_30_1_97_0,
     author = {Metafune, Giorgio},
     title = {$L^p$-spectrum of {Ornstein-Uhlenbeck} operators},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {97--124},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 30},
     number = {1},
     year = {2001},
     mrnumber = {1882026},
     zbl = {1065.35216},
     language = {en},
     url = {http://archive.numdam.org/item/ASNSP_2001_4_30_1_97_0/}
}
TY  - JOUR
AU  - Metafune, Giorgio
TI  - $L^p$-spectrum of Ornstein-Uhlenbeck operators
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2001
SP  - 97
EP  - 124
VL  - 30
IS  - 1
PB  - Scuola normale superiore
UR  - http://archive.numdam.org/item/ASNSP_2001_4_30_1_97_0/
LA  - en
ID  - ASNSP_2001_4_30_1_97_0
ER  - 
%0 Journal Article
%A Metafune, Giorgio
%T $L^p$-spectrum of Ornstein-Uhlenbeck operators
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2001
%P 97-124
%V 30
%N 1
%I Scuola normale superiore
%U http://archive.numdam.org/item/ASNSP_2001_4_30_1_97_0/
%G en
%F ASNSP_2001_4_30_1_97_0
Metafune, Giorgio. $L^p$-spectrum of Ornstein-Uhlenbeck operators. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 30 (2001) no. 1, pp. 97-124. http://archive.numdam.org/item/ASNSP_2001_4_30_1_97_0/

[1] W. Arendt, Gaussian estimates and interpolation of the spectrum in LP, Differential Integral Equations 7 (1994), 1153-1168. | MR | Zbl

[2] W. Arendt - F. Räbiger - A. Sourour, Spectral properties of the operator equation A X + X B = Y, Quart. J. Math. Oxford Ser. (2) 45 (1994), 133-149. | MR | Zbl

[3] D. Bakry, L'hypercontractivite et son utilisation en theorie des semi-groupes, in: D. Bakry, R. D. Gill, S. A. Molchanov, Lectures on probability theory, Springer LNM 1581, (1992), 1-114. | MR | Zbl

[4] D.W. Boyd, The spectrum of the Cesaro operator, Acta Sci. Math. 29 (1968), 31-34. | MR | Zbl

[5] S. Cerrai, Elliptic and parabolic equations in Rn with coefficients having polynomial growth, Comm. Partial Differential Equations 21 (1996), 281-317. | MR | Zbl

[6] G. Da Prato - A. Lunardi, On the Ornstein-Uhlenbeck operator in spaces of continuous functions, J. Funct. Anal. 131 (1995), 94-114. | MR | Zbl

[7] G. Da Prato - J. Zabczyk, "Ergodicity for Infinite Dimensional Systems", Univ. Press, Cambridge, 1996. | MR | Zbl

[8] E.B. Davies - B. Simon, L1 properties of intrinsic Schrödinger semigroups, J. Funct. Anal. 65 (1986), 126-146. | MR | Zbl

[9] B. Goldys, On Analyticity of Ornstein- Uhlenbeck semigroups, Rend. Mat. Acc. Lincei (9) 10 (1999), 131-140. | MR | Zbl

[10] L. Hörmander, Hypoelliptic differential operators of second order, Acta Math. 119 (1967), 147-171. | MR | Zbl

[11] K. Engel - R. Nagel, "One-parameters Semigroup for Linear Evolution Equations", 194 Springer Graduate Texts in Mathematics, 2000. | MR | Zbl

[12] A. Erdelyi, "Asymptotic Expansions", Dover, 1956. | MR | Zbl

[13] A. Lunardi, Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in Rn, Ann. Scuola Norm. Sup. Pisa Cl. Sc. (4) 24 (1997), 133-164. | EuDML | Numdam | MR | Zbl

[14] A. Lunardi, On the Ornstein-Uhlenbeck operator in L 2 spaces with respect to invariant measures, Trans. Amer. Math. Soc. 349 (1997), 155-169. | MR | Zbl

[15] A. Lunardi - V. Vespri, Generation of smoothing semigroups by elliptic operators with unbounded coefficients in Rn,, Rend. Istit. Mat. Univ. Trieste 28 (1997), 251-279. | MR | Zbl

[16] A. Lunardi - V. Vespri, Optimal L∞ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients, In: Proc. Conf. "Reaction-diffusion systems" G. Caristi - E. Mitidieri (eds.), Lecture notes in pure and applied mathematics 194, M. Dekker (1998), 217-239. | Zbl

[17] P.A. Meyer, Note sur ler processus d'Ornstein-Uhlenbeck, Seminaire de probabilités XVI, Springer LNM 920 (1982), 95-133. | EuDML | Numdam | MR | Zbl

[18] J.M.A.M. Van Neerven - J. Zabczyk, Norm discontinuity of Ornstein-Uhlenbeck semigroups, Semigroup Forum 59 (1999), 389-403. | MR | Zbl

[19] E.M. Stein - G. Weiss, "Introduction to Fourier Analysis on Euclidean Spaces", Princeton Univ. Press, 1971. | MR | Zbl

[20] E.T. Whittaker - G.N. Watson, "A course of Modem Analysis", Cambridge Univ. Press, Cambridge, 1927. | JFM

[21] L. Weis, The stability of positive semigroups on L p spaces, Proc. Amer. Math. Soc. 123 (1995), 3089-3094. | MR | Zbl