Hardy-Littlewood theory on unimodular groups

N. Th. Varopoulos

Annales de l'I.H.P. Probabilités et statistiques (1995)

  • Volume: 31, Issue: 4, page 669-688
  • ISSN: 0246-0203

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Varopoulos, N. Th.. "Hardy-Littlewood theory on unimodular groups." Annales de l'I.H.P. Probabilités et statistiques 31.4 (1995): 669-688. <http://eudml.org/doc/77524>.

@article{Varopoulos1995,
author = {Varopoulos, N. Th.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {heat kernels; analysis on Lie groups; probability measures on groups},
language = {eng},
number = {4},
pages = {669-688},
publisher = {Gauthier-Villars},
title = {Hardy-Littlewood theory on unimodular groups},
url = {http://eudml.org/doc/77524},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Varopoulos, N. Th.
TI - Hardy-Littlewood theory on unimodular groups
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1995
PB - Gauthier-Villars
VL - 31
IS - 4
SP - 669
EP - 688
LA - eng
KW - heat kernels; analysis on Lie groups; probability measures on groups
UR - http://eudml.org/doc/77524
ER -

References

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  1. [1] N. Lohout, Inégalités de Sobolev pour les sous-laplaciens de certains groupes unimodulaires, Geom. and Funct. Analysis, 2 (4), 1992, pp. 394-420. Zbl0807.22007MR1191567
  2. [2] Ph. Bougerol, Théorème central limite local sur certains groupes de Lie. Ann. Sci. Ec. Norm. Sup.4e sér., 14, 1981, pp. 403-432. Zbl0488.60013MR654204
  3. [3] N.Th. Varopoulos, L. Saloff-Coste and T. Coulhon, Analysis and geometry on groups, Cambridge tracts in Math., n° 100, C.U.P., 1993. Zbl0813.22003MR1218884
  4. [4] N. Lohoué, Estimation Lp des coefficients de représentation et opérateurs de convolution. Advances in Math., 38, 1980, pp. 178-222. Zbl0463.43003MR597197
  5. [5] N.Th. Varopoulos, Théorie de Hardy-Littlewood sur les groupes de Lie, C.R.A.S., t. 316 (I), p. 999-1003, 1993. Zbl0789.22022MR1222961
  6. [6] L. Hörmander, Estimates for translation invariant operators in Lp spaces, Acta Math., 104, 1960, pp. 93-139. Zbl0093.11402MR121655
  7. [7] V.S. Varadarajan, Lie groups, Lie algebras and their representations, Prentice Hall. Zbl0371.22001MR376938
  8. [8] N.Th. Varopoulos, Wiener-Hopf Theory and non unimodular groups, Journal of Funct. Analysis, 120 (2), 1994, pp. 467-483. Zbl0849.22008MR1266317
  9. [9] D. Robinson, Elliptic operators on Lie groups, Oxford University Press, 1991. Zbl0747.47030MR1144020
  10. [10] N.Th. Varopoulos, Diffusion on Lie groups, Can. J. of Math., 46 (2), 1994, pp. 438-448. Zbl0845.22006MR1271225
  11. [11] N.Th. Varopoulos, Diffusion on Lie groups (II), Can. J. of Math., 46 (5), 1994, pp. 1073-1092. Zbl0829.22013MR1295132
  12. [12] N.Th. Varopoulos, Random walks and Brownian motion on manifoldsSymposia Mathematica, XXIX, 1987, pp. 97-109. Zbl0651.60013MR951181
  13. [13] M. Cowling, The Kunze-Stein phenomenon, Annals of Mathematics, 107, 1978, pp. 209- 234. Zbl0363.22007MR507240
  14. [14] M. Gromov, Structures métriques pour les variétés riemanniennes, Cedre/Fernand Nathan, 1981. Zbl0509.53034MR682063
  15. [15] J. Milnor, A note on curvature and the fundamental group, J. of Diff. Geometry, 2, 1968, pp. 1-7. Zbl0162.25401MR232311
  16. [16] N.Th. Varopoulos, Théorème de Hardy-Littlewood sur les groupes de Lie, C.R.A.S., t. 318 (I), 1994, pp. 27-30. Zbl0830.43007MR1260530
  17. [17] Y. Guivarc'h, Croissance polynomiale et périodes des fonctions harmoniques, Bull. Soc. Math. France, 101, 1973, pp. 333-379. Zbl0294.43003MR369608

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