Fock-Sobolev Spaces of Fractional Order
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Tài liệu tham khảo
Adams, R.A., 2nd ed.: Sobolev spaces. Academic Press, London (2003)
Beatrous, F., Burbea, J.: Holomorphic Sobolev spaces on the ball, Dissertationes Math. (Rozprawy Mat.) 276, 1–57 (1989)
Benenet, C., Sharpley, R.: Interpolation of operators. Academic Press, London (1988)
Bongioanni, B., Torrea, J.L.: Sobolev spaces associated to the harmonic oscillator. Proc. Indian Acad. Sci. Math. Sci. 116, 337–360 (2006)
Cho, H.R., Choe, B.R., Koo, H.: Linear combinations of composition operators on the Fock-Sobolev spaces. Potential Anal. 41, 1223–1246 (2014)
Cho, H.R., Zhu, K.: Fock-Sobolev spaces and their Carleson measures. J. Funct. Anal. 263, 2483–2506 (2012)
Driver, K.B.: On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms. J. Funct. Anal. 133, 69–128 (1995)
Gross, L., Malliavin, P.: Hall’s transform and the Segal-Bargmann map, Itô’s stochastic calculus and probability theory, pp 73–116. Springer, Tokyo (1996)
Gundy, R.: Sur les de Riesz transformations pour le semi-groupe d’Ornstein-Uhlenbeck. C. R. Acad. Sci. Paris Sér. I Math. 303, 967–970 (1986)
Gutiérrez, C.E.: On the Riesz transforms for Gaussian measures. J. Funct. Anal. 120, 107–134 (1994)
Gutiérrez, C.E., Segovia, C., Torrea, J.: On higher Riesz transforms for Gaussian measures. J. Fourier Anal. Appl. 2, 583–596 (1996)
Brian, C.: Hall and Wicharn Lewkeeratiyutkul, Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform. J. Funct. Anal 217, 192–220 (2004)
Meyer, P.-A.: Transformations de Riesz pour les lois gaussiennes, Seminar on probability, XVIII, 179–193, Lecture Notes in Math. Springer, Berlin, 1984 (1059)
Muckenhoupt, B.: Hermite conjugate expansions. Trans. Amer. Math. Soc 139, 243–260 (1969)
Pérez, S.: Boundedness of Littlewood-Paley g-functions of higher order associated with the Ornstein-Uhlenbeck semigroup. Indiana Univ. Math. J. 50, 1003–1014 (2001)
Pérez, S., Soria, F.: Operators associated with the Ornstein-Uhlenbeck semigroup. J. London Math. Soc. 61, 857–871 (2000)
Pisier, G.: Riesz transforms: a simpler analytic proof of P. -A. Meyer’s inequality, Sèminaire de Probabilitès, XXII, 485–501 Lecture Notes in Math., vol. 1321. Springer, Berlin (1988)
Rudin, W.: Function theory in the unit ball of C n. Springer-Verlag, New York (1980)
Thangavelu, S.: Holomorphic Sobolev spaces associated to compact symmetric spaces. J. Funct. Anal. 251, 438–462 (2007)
Tung, Y.: Fock Spaces. University of Michigan, Ph.D. dissertation (2005)
Urbina, W.: On singular integrals with respect to the Gaussian measure. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 17, 531–567 (1990)
Zhu, K.: Spaces of holomorphic functions in the unit ball. Springer, New York (2005)
Zhu, K.: Operator theory in function spaces, 2nd ed., Amer. Math Soc. (2007)
Zhu, K.: Analysis on Fock Spaces. Springer, New York (2012)