Alcuni aspetti dell'analisi su varietà riemanniane

 Access to full text

 Full (PDF)

 Full (DjVu)

1. ANKER, J.-PH., Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces, Duke Math. J., 65 (1992), 257-297. Zbl0764.43005MR1150587DOI10.1215/S0012-7094-92-06511-2
2. ANKER, J.-PH., $L^p$ Fourier multipliers on Riemannian symmetric spaces of the noncompact type, Ann. of Math., 132 (1990), 597-628. MR1078270DOI10.2307/1971430
3. ANKER, J.-PH. - JI, L., Heat kernel and Green function estimates on noncompact symmetric spaces I, Geom. Funct. Anal., 9 (1999), 1035-1091. Zbl0942.43005MR1736928DOI10.1007/s000390050107
4. ARONSON, D. G., Non-negative solutions of linear parabolic equations, Ann. Scuola Normale Sup., 22 (1968), 607-694. Zbl0182.13802MR435594
5. AUSCHER, P. - COULHON, T. - DUONG, X. T. - HOFMANN, S., Riesz transforms on manifolds and heat kernel regularity, Ann. Sci. École Norm. Sup., 37 (2004), 911-957. Zbl1086.58013MR2119242DOI10.1016/j.ansens.2004.10.003
6. AUSCHER, P. - MCINTOSH, A. - RUSS, E., Hardy spaces of differential forms on Riemannian manifolds, J. Geom. Anal., 18 (2008), 192-248. Zbl1217.42043MR2365673DOI10.1007/s12220-007-9003-x
7. BELTRAMI, E., Delle variabili complesse sopra una superficie qualunque, Ann. Mat. Pura Appl., 1 (1867), 329-366. 
8. BERGH, J. - LÖFSTRÖM, J., Interpolation Spaces. An Introduction. Grundlehren der mathematischen Wissenschaften, Bd. 223, Springer-Verlag, Berlin Heidelberg New York, 1976. MR482275
9. CALDERÓN, A. - ZYGMUND, A., On the existence of certain singular integrals, Acta Math., 88 (1952), 85-139. MR52553DOI10.1007/BF02392130
10. CALDERÓN, A. - ZYGMUND, A., On singular integrals, Amer. J. Math., 78 (1956), 289-309. MR84633DOI10.2307/2372517
11. CARBONARO, A. - MAUCERI, G. - MEDA, S., $H^1$, BMO and singular integrals for certain metric measure spaces, Ann. Scuola Norm Sup. Pisa Cl. Sci. (5) Vol. VIII (2009), 543-582. MR2581426
12. CARBONARO, A. - MAUCERI, G. - MEDA, S., $H^1$ and BMO for certain locally doubling metric measure spaces of finite measure, Colloq. Math., 118 (2010), 13-41. Zbl1193.42076MR2600517DOI10.4064/cm118-1-2
13. CHAVEL, I., Isoperimetric inequalities. Differential geometric and analytic perspectives., vol. 145 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge, 2001. Zbl0988.51019MR1849187
14. CHEEGER, J., A lower bound for the smallest eigenvalue of the Laplacian. In: Problems in Analysis (Ed. R. C. Gunning). A Symposium in honor of Salomon Bochner (Princeton 1969), pp. 195-199. Princeton: Princeton University Press1970. MR402831
15. CHRIST, M., A T(b) theorem with remarks on analytic capacity and the Cauchy integral, Coll. Math., 61 (1990), 601-628. Zbl0758.42009MR1096400DOI10.4064/cm-60-61-2-601-628
16. CLERC, J.-L. - STEIN, E. M., $L^p$ multipliers for noncompact symmetric spaces, Proc. Nat. Acad. Sci. U. S. A., 71 (1974), 3911-3912. MR367561DOI10.1073/pnas.71.10.3911
17. COIFMAN, R. R. - MCINTOSH, A. - MEYER, Y., L'integrale de Cauchy definit un operateur borne sur $L^2$ pour les courbes lipschitziennes, Ann. of Math., 116 (1982), 361-387. MR672839DOI10.2307/2007065
18. COIFMAN, R. R. - WEISS, G., Analyse harmonique non commutative sur certains espaces homogenes, Lecture Notes in Mathematics, 242, Springer1971. Zbl0224.43006MR499948
19. COIFMAN, R. R. - WEISS, G., Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc., 83 (1977), 569-645. Zbl0358.30023MR447954DOI10.1090/S0002-9904-1977-14325-5
20. COULHON, T. - DUONG, X. T., Riesz transforms for $1\le p\le 2$, Trans. Amer. Math. Soc., 351 (1999), 1151-1169. Zbl0973.58018MR1458299DOI10.1090/S0002-9947-99-02090-5
21. COWLING, M. G., Harmonic analysis on semigroups, Ann. of Math., 117 (1983), 267-283. Zbl0528.42006MR690846DOI10.2307/2007077
22. COWLING, M. - GIULINI, S. - MEDA, S.,$L^p--L^q$ estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I, Duke Math. J., 72 (1983), 109-150. MR1242882DOI10.1215/S0012-7094-93-07206-7
23. DAVID, G. - JOURNÉ, J.-L. , A Boundedness Criterion for Generalized Calderon-Zygmund Operators, Ann. of Math., 120, (1984), 371-397. Zbl0567.47025MR763911DOI10.2307/2006946
24. DE MICHELE, L. - MAUCERI, G., $L^p$ multipliers on the Heisenberg group, Mich. Math. J., 26 (1979), 361-371. MR544603
25. FEFFERMAN, C., Characterizations of bounded mean oscillation, Bull. Amer. Math. Soc., 77 (1971), 587-588. Zbl0229.46051MR280994DOI10.1090/S0002-9904-1971-12763-5
26. FEFFERMAN, C. - STEIN, E. M., $H^p$ spaces of several variables, Acta Math., 179 (1972), 137-193. Zbl0257.46078MR447953DOI10.1007/BF02392215
27. FOLLAND, G. B. - STEIN, E. M., Hardy spaces on homogeneous groups, Mathematical Notes, 28, Princeton University Press and Tokyo University Press, Princeton, 1982. Zbl0508.42025MR657581
28. GARCÍA-CUERVA, J. - MAUCERI, G. - MEDA, S. - SJÖGREN, P. - TORREA, J. L., Functional Calculus for the Ornstein-Uhlenbeck Operator, J. Funct. Anal., 183, no. 2 (2001), 413-450. Zbl0995.47010MR1844213DOI10.1006/jfan.2001.3757
29. GARCÍA-CUERVA, J. - MAUCERI, G. - MEDA, S. - SJÖGREN, P. - TORREA, J. L., Maximal operators for the Ornstein-Uhlenbeck semigroup, J. London Math. Soc., 67 (2003), 219-234. Zbl1058.42012MR1942422DOI10.1112/S0024610702003733
30. GRY'GORYAN, A., Estimates of heat kernels on Riemannian manifolds, in Spectral Theory and Geometry, ICMS Instructional Conference Edinburgh 1988, eds B. Davies and Y. Safarov, London Mathematical Society Lecture Note Series, 273, Cambridge University Press, 1999. MR1736863DOI10.1017/CBO9780511566165
31. GRIGOR'YAN, A., Estimates of heat kernels on Riemannian manifolds, in Spectral Theory and Geometry, ICMS Instructional Conference Edinburgh 1988, eds B. Davies and Y. Safarov, London Mathematical Society Lecture Note Series, 273, Cambridge University Press, 1999. MR1736863DOI10.1017/CBO9780511566165
32. HEBISCH, W. - STEGER, T., Multipliers and singular integrals on exponential growth groups, Math. Z., 245, no. 1 (2003), 37-61. Zbl1035.43001MR2023952DOI10.1007/s00209-003-0510-6
33. HELGASON, S., Groups and Geometric Analysis. Academic Press, New York, 1984. MR754767
34. HÖRMANDER, L., Estimates for translation invariant operators in $L^p$ spaces, Acta Math., 104 (1960), 93-140. MR121655DOI10.1007/BF02547187
35. IONESCU, A.D., Fourier integral operators on noncompact symmetric spaces of real rank one, J. Funct. Anal., 174 (2000), 274-300. Zbl0962.43004MR1767376DOI10.1006/jfan.2000.3572
36. IONESCU, A. D., Singular integrals on symmetric spaces of real rank one, Duke Math. J., 114 (2002), 101-122. Zbl1007.43010MR1915037DOI10.1215/S0012-7094-02-11415-X
37. IONESCU, A. D., Singular integrals on symmetric spaces, II, Trans. Amer. Math. Soc., 355 (2003), 3359-3378. Zbl1014.22012MR1974692DOI10.1090/S0002-9947-03-03312-9
38. KOLMOGOROV, A. N., Sur les fonctions harmoniques conjuguées et les séries de Fourier, Fund. Math., 7 (1925) 23-28. 
39. KNAPP, A. W. - STEIN, E. M., Intertwining operators on semisimple Lie groups, Ann. of Math., 93 (1971), 489-578. Zbl0257.22015MR460543DOI10.2307/1970887
40. LI, P. - YAU, S. T., On the parabolic kernel of the Schrödinger operator, Acta Math., 156 (1986), 153-201. MR834612DOI10.1007/BF02399203
41. MAUCERI, G. - MEDA, S., A BMO space for the Ornstein-Uhlenbeck operator, J. Funct. Anal., 252 (2007), 278-313. MR2357358DOI10.1016/j.jfa.2007.06.017
42. MAUCERI, G. - MEDA, S. - SJÖGREN, P., Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator, Rev. Mat. Iberoam., 28, no. 1 (2012), 77-91. Zbl1238.42005MR2904131DOI10.4171/RMI/667
43. MAUCERI, G. - MEDA, S. - SJÖGREN, P., A maximal function characterisation of the Hardy space for the Gauss measure, apparirà su Proc. Amer. Math. Soc. 
44. MAUCERI, G. - MEDA, S. - VALLARINO, M., Estimates for functions of the Laplacian on manifolds with bounded geometry, Math. Res. Lett., 16 (2009), 861-879. Zbl1202.53043MR2576703DOI10.4310/MRL.2009.v16.n5.a9
45. MAUCERI, G. - MEDA, S. - VALLARINO, M., Hardy type spaces on certain noncompact manifolds and applications, J. London Math. Soc., 84 (2011), 243-268. Zbl1228.42018MR2819699DOI10.1112/jlms/jdq103
46. MAUCERI, G. - MEDA, S. - VALLARINO, M., Hardy spaces on noncompact symmetric spaces and applications, preprint, 2010. Zbl1228.42018MR2819699DOI10.1112/jlms/jdq103
47. MAUCERI, G. - MEDA, S. - VALLARINO, M., Atomic decomposition of Hardy type spaces on certain noncompact manifolds, J. Geom. Anal. Zbl1228.42018MR2927682DOI10.1007/s12220-011-9218-8
48. MEDA, S. - SJÖGREN, P. - VALLARINO, M., On the $H^1-L^1$ boundedness of operators, Proc. Amer. Math. Soc., 136 (2008), 2921-2931. Zbl1273.42021MR2399059DOI10.1090/S0002-9939-08-09365-9
49. MEDA, S. - VALLARINO, M., Weak type estimates for multiplier operators on noncompact symmetric spaces, Trans. Amer. Math. Soc., 362 (2010), 2993-3026. Zbl1283.42017MR2592944DOI10.1090/S0002-9947-10-05082-8
50. NAZAROV, F. - TREIL, S. - VOLBERG, A., The Tb-theorem on non-homogeneous spaces, Acta Math., 190, no. 2 (2003), 151-239. Zbl1065.42014MR1998349DOI10.1007/BF02392690
51. RIESZ, M., Sur les fonctions conjuguées, Math. Zeit., 27 (1927), 218-244. Zbl53.0259.02MR1544909DOI10.1007/BF01171098
52. SALOFF-COSTE, L., Aspects of Sobolev-type inequalities, London Mathematical Society Lecture Note Series289, Cambridge University Press, 2002. Zbl0991.35002MR1872526
53. SOARDI, P. M., Serie di Fourier in più variabili, Quaderno dell'Uniome Matematica Italiana, 26, Pitagora Ed., Bologna2004. 
54. STEIN, E. M., Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Annals of Math. Studies, No. 63, Princeton N. J., 1970. Zbl0193.10502MR252961
55. STEIN, E. M., Harmonic Analysis. Real variable methods, orthogonality and oscillatory integrals, Princeton Math. Series No. 43, Princeton N. J., 1993. Zbl0821.42001MR1232192
56. STRÖMBERG, J.-O., Weak type $L^1$ estimates for maximal functions on non-compact symmetric spaces, Ann. of Math., 114 (1981), 115-126. MR625348DOI10.2307/1971380
57. TOLSA, X., BMO, $H^1$, and Calderón-Zygmund operators for non doubling measures, Math. Ann., 319 (2001), 89-149. MR1812821DOI10.1007/PL00004432