Spectral multipliers on a class of NA groups with rank two

Journal of Functional Analysis - Tập 238 - Trang 734-750 - 2006
Emilie David-Guillou1
1Institut de Mathématiques, Université Pierre et Marie Curie, Paris VI, 4 place Jussieu, 75252 Paris cedex 05, France

Tài liệu tham khảo

Christ, 1996, On Lp spectral multipliers for a solvable Lie group, Geom. Funct. Anal., 6, 860, 10.1007/BF02246787 Cowling, 1994, Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth, Studia Math., 111, 103, 10.4064/sm-111-2-103-121 E. David-Guillou, Multiplicateurs de Hörmander–Mihlin sur certains groupes de Lie résolubles non-unimodulaires, dissertation thesis, Paris VI, 2003, http://www.institut.math.jussieu.fr/~davidg/thesis-davidguillou.pdf David-Guillou, 2004, Lp Bounds for spectral multipliers on rank one NA-groups with roots not all positive, Colloq. Math., 101, 51, 10.4064/cm101-1-4 Folland, 1982 Gnewuch, 2004, Spectral multipliers for sub-Laplacians on amenable Lie groups with exponential volume growth, Math. Z., 246, 69, 10.1007/s00209-003-0577-0 Hebisch, 1993, The subalgebra of L1(AN) generated by the Laplacian, Proc. Amer. Math. Soc., 117, 547 Hebisch, 1997, Boundedness of L1 spectral multipliers for an exponential solvable Lie group, Colloq. Math., 73, 155, 10.4064/cm-73-1-155-164 Hebisch, 2000, Spectral multipliers on metabelian groups, Rev. Mat. Iberoamericana, 16, 597, 10.4171/RMI/285 Hebisch, 2003, Multipliers and singular integrals on exponential growth groups, Math. Z., 245, 37, 10.1007/s00209-003-0510-6 Hebisch, 2005, Sub-Laplacians of holomorphic Lp type on exponential solvable groups, J. London Math. Soc. (2), 72, 364, 10.1112/S0024610705006599 Hörmander, 1960, Estimates for translation invariant operators in Lp spaces, Acta Math., 104, 93, 10.1007/BF02547187 Ludwig, 2000, Sub-Laplacians of holomorphic Lp-type on rank one AN-groups and related solvable groups, J. Funct. Anal., 170, 366, 10.1006/jfan.1999.3517 Mustapha, 1998, Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires, Ann. Inst. Fourier (Grenoble), 48, 957, 10.5802/aif.1644 Varopoulos, 1992