Subelliptic estimates and function spaces on nilpotent Lie groups

Arkiv för Matematik - Tập 13 - Trang 161-207 - 1975
G. B. Folland1
1Department of Mathematics, University of Washington, Seattle, USA

Tài liệu tham khảo

Bony, J. M., Principe du maximum, inégalité de Harnack, et unicité du probléme de Cauchy pour les operateurs elliptiques dégénérésAnn. Inst. Fourier Grenoble,19 (1) (1969), 277–304. Calderón, A. P., Lebesgue spaces of differentiable functions and distributions,Proc. Symp. Pure Math.,4 (1961), 33–49. Coifman, R. andWeiss, G.Analyse harmonique non-commutative sur certains espaces homogènes, Lecture notes #242, Springer-Verlag, Berlin, (1971). Dyer, J. L. A nilpotent Lie algebra with nilpotent automorphism group,Bull. Amer. Math. Soc.,76 (1970), 52–56. Folland, G. B. andKohn, J. J.The Neumann problem for the Cauchy-Riemann complex, Ann. of Math. Studies #75, Princeton University Press, Princeton, (1972). Folland, G. B. andStein, E. M. Parametrices and estimates for the 206-1 complex on strongly pseudoconvex boundaries.Bull. Amer. Math. Soc.,80 (1974), 253–258. Folland, G. B. andStein, E. M. Estimates for the 206-2 complex and analysis on the Heisenberg group,Comm. Pure Appl. Math.,27 (1974), 429–522. Guillemin, V. andSternberg, S. Subelliptic estimates for complexes,Proc. Nat. Acad. Sci. U.S.A.,67 (1970), 271–274. Hochschild, G.The structure of Lie groups, Holden-Day, San Francisco, (1965). Hörmander, L. Hypoelliptic second-order differential equations,Acta Math.,119 (1967), 147–171. Hunt, G. A. Semigroups of measures on Lie groups,Trans. Amer. Math. Soc.,81 (1956), 264–293. Jørgensen, P. Representations of differential operators on a Lie group, to appear. Knapp, A. W. andStein, E. M. Intertwining operators for semi-simple groups,Ann. of Math.,93 (1971), 489–578. Kohn, J. J. andNirenberg, L. Non-coercive boundary value problems,Comm. Pure Appl. Math.,18 (1965), 443–492. Komatsu, H. Fractional powers of operators,Pac. J. Math.,19 (1966), 285–346. Komatsu, H. Fractional powers of operators, II: Interpolation spaces,Pac. J. Math.,21 (1967), 89–111. Komatsu, H. Fractional powers of operators, III: Negative powers,J. Math. Soc. Japan,21 (1969), 205–220. Komatsu, H. Fractional powers of operators, IV: Potential operators,J. Math. Soc. Japan,21 (1969), 221–228. Komatsu, H. Fractional powers of operators, V: Dual operators,J. Fac. Sci. Univ. Tokyo, Sec. IA,17 (1970), 373–396. Komatsu, H. Fractional powers of operators, VI: Interpolation of nonnegative operators and imbedding theorems,J. Fac. Sci. Univ. Tokyo, Sec. IA,19 (1972), 1–62. Korányi, A. andVági, S. Singular integrals in homogeneous spaces and some problems of classical analysis,Ann. Scuola Norm. Sup. Pisa,25 (1971), 575–648. Oleįnik, O. A. andRadkevič, E. V.Second order equations with nonnegative characteristics form, Amer. Math. Soc., Providence, (1973). Schwartz, L.Théorie des distributions, Hermann, Paris, (1966). Stein, E. M.Topics in harmonic analysis, Ann. of Math. Studies #63, Princeton University Press, Princeton, (1970). Stein, E. M.Singular integrals and differentiability properties of functions, Princeton University Press, Princeton, (1970). Stein, E. M. Some problems in harmonic analysis suggested by symmetric spaces and semi-simple groups,Proc. Internat. Congress Math. Nice (1970), vol. I, 173–189. Stein, E. M. Singular integrals and estimates for the Cauchy-Riemann equations,Bull. Amer. Math. Soc.,79 (1973), 440–445. Stein, E. M. andWeiss, G.Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, (1971). Trèves, F.Topological vector spaces, distributions, and kernels, Academic Press, New York, (1967). Yosida, K.Functional analysis, 3rd ed.. Springer-Verlag, New York, (1971). Zygmund, A.Trigonometric series, vol. II, Cambridge University Press, Cambridge, (1959).