bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Meda, Stefano:
Alcuni aspetti dell'analisi su varietà riemanniane
Bollettino dell'Unione Matematica Italiana Serie 9 5 (2012), fasc. n.3, p. 631-654, (Italian)
pdf (357 Kb), djvu (235 Kb). | MR 3051738 | Zbl 1290.47033

Referenze Bibliografiche
[A1] J.-PH. ANKER, Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces, Duke Math. J., 65 (1992), 257-297. | fulltext (doi) | MR 1150587 | Zbl 0764.43005
[A2] J.-PH. ANKER, $L^p$ Fourier multipliers on Riemannian symmetric spaces of the noncompact type, Ann. of Math., 132 (1990), 597-628. | fulltext (doi) | MR 1078270
[AJ] J.-PH. ANKER - L. JI, Heat kernel and Green function estimates on noncompact symmetric spaces I, Geom. Funct. Anal., 9 (1999), 1035-1091. | fulltext (doi) | MR 1736928 | Zbl 0942.43005
[Ar] D. G. ARONSON, Non-negative solutions of linear parabolic equations, Ann. Scuola Normale Sup., 22 (1968), 607-694. | fulltext EuDML | MR 435594 | Zbl 0182.13802
[ACDH] P. AUSCHER - T. COULHON - X. T. DUONG - S. HOFMANN, Riesz transforms on manifolds and heat kernel regularity, Ann. Sci. École Norm. Sup., 37 (2004), 911-957. | fulltext EuDML | fulltext (doi) | MR 2119242 | Zbl 1086.58013
[AMR] P. AUSCHER - A. MCINTOSH - E. RUSS, Hardy spaces of differential forms on Riemannian manifolds, J. Geom. Anal., 18 (2008), 192-248. | fulltext (doi) | MR 2365673 | Zbl 1217.42043
[Bel] E. BELTRAMI, Delle variabili complesse sopra una superficie qualunque, Ann. Mat. Pura Appl., 1 (1867), 329-366.
[BL] J. BERGH - J. LÖFSTRÖM, Interpolation Spaces. An Introduction. Grundlehren der mathematischen Wissenschaften, Bd. 223, Springer-Verlag, Berlin Heidelberg New York, 1976. | MR 482275
[CZ1] A. CALDERÓN - A. ZYGMUND, On the existence of certain singular integrals, Acta Math., 88 (1952), 85-139. | fulltext (doi) | MR 52553
[CZ2] A. CALDERÓN - A. ZYGMUND, On singular integrals, Amer. J. Math., 78 (1956), 289-309. | fulltext (doi) | MR 84633
[CMM1] A. CARBONARO - G. MAUCERI - S. MEDA, $H^1$, BMO and singular integrals for certain metric measure spaces, Ann. Scuola Norm Sup. Pisa Cl. Sci. (5) Vol. VIII (2009), 543-582. | MR 2581426
[CMM2] A. CARBONARO - G. MAUCERI - S. MEDA, $H^1$ and BMO for certain locally doubling metric measure spaces of finite measure, Colloq. Math., 118 (2010), 13-41. | fulltext EuDML | fulltext (doi) | MR 2600517 | Zbl 1193.42076
[Cha] I. CHAVEL, Isoperimetric inequalities. Differential geometric and analytic perspectives., vol. 145 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge, 2001. | MR 1849187 | Zbl 0988.51019
[Che] J. CHEEGER, 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 Press 1970. | MR 402831
[Chr] M. CHRIST, A T(b) theorem with remarks on analytic capacity and the Cauchy integral, Coll. Math., 61 (1990), 601-628. | fulltext EuDML | fulltext (doi) | MR 1096400 | Zbl 0758.42009
[CS] J.-L. CLERC - E. M. STEIN, $L^p$ multipliers for noncompact symmetric spaces, Proc. Nat. Acad. Sci. U. S. A., 71 (1974), 3911-3912. | fulltext (doi) | MR 367561
[CMM] R. R. COIFMAN - A. MCINTOSH - Y. MEYER, L'integrale de Cauchy definit un operateur borne sur $L^2$ pour les courbes lipschitziennes, Ann. of Math., 116 (1982), 361-387. | fulltext (doi) | MR 672839
[CW1] R. R. COIFMAN - G. WEISS, Analyse harmonique non commutative sur certains espaces homogenes, Lecture Notes in Mathematics, 242, Springer 1971. | MR 499948 | Zbl 0224.43006
[CW2] R. R. COIFMAN - G. WEISS, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc., 83 (1977), 569-645. | fulltext (doi) | MR 447954 | Zbl 0358.30023
[CD] T. COULHON - X. T. DUONG, Riesz transforms for $1 \leq p \leq 2$, Trans. Amer. Math. Soc., 351 (1999), 1151-1169. | fulltext (doi) | MR 1458299 | Zbl 0973.58018
[Co] M. G. COWLING, Harmonic analysis on semigroups, Ann. of Math., 117 (1983), 267-283. | fulltext (doi) | MR 690846 | Zbl 0528.42006
[CGM1] M. COWLING - S. GIULINI - S. MEDA,$L^p -- L^q$ estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I, Duke Math. J., 72 (1983), 109-150. | fulltext (doi) | MR 1242882
[DJ] G. DAVID - J.-L. JOURNÉ , A Boundedness Criterion for Generalized Calderon-Zygmund Operators, Ann. of Math., 120, (1984), 371-397. | fulltext (doi) | MR 763911 | Zbl 0567.47025
[DeMM] L. DE MICHELE - G. MAUCERI, $L^p$ multipliers on the Heisenberg group, Mich. Math. J., 26 (1979), 361-371. | MR 544603
[F] C. FEFFERMAN, Characterizations of bounded mean oscillation, Bull. Amer. Math. Soc., 77 (1971), 587-588. | fulltext (doi) | MR 280994 | Zbl 0229.46051
[FeS] C. FEFFERMAN - E. M. STEIN, $H^p$ spaces of several variables, Acta Math., 179 (1972), 137-193. | fulltext (doi) | MR 447953 | Zbl 0257.46078
[FS] G. B. FOLLAND - E. M. STEIN, Hardy spaces on homogeneous groups, Mathematical Notes, 28, Princeton University Press and Tokyo University Press, Princeton, 1982. | MR 657581 | Zbl 0508.42025
[GMMST1] J. GARCÍA-CUERVA - G. MAUCERI - S. MEDA - P. SJÖGREN - J. L. TORREA, Functional Calculus for the Ornstein-Uhlenbeck Operator, J. Funct. Anal., 183, no. 2 (2001), 413-450. | fulltext (doi) | MR 1844213 | Zbl 0995.47010
[GMMST2] J. GARCÍA-CUERVA - G. MAUCERI - S. MEDA - P. SJÖGREN - J. L. TORREA, Maximal operators for the Ornstein-Uhlenbeck semigroup, J. London Math. Soc., 67 (2003), 219-234. | fulltext (doi) | MR 1942422 | Zbl 1058.42012
[Gri] A. GRY'GORYAN, 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. | fulltext (doi) | MR 1736863
[Gr1] A. GRIGOR'YAN, 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. | fulltext (doi) | MR 1736863
[HeS] W. HEBISCH - T. STEGER, Multipliers and singular integrals on exponential growth groups, Math. Z., 245, no. 1 (2003), 37-61. | fulltext (doi) | MR 2023952 | Zbl 1035.43001
[H1] S. HELGASON, Groups and Geometric Analysis. Academic Press, New York, 1984. | MR 754767
[Ho1] L. HÖRMANDER, Estimates for translation invariant operators in $L^p$ spaces, Acta Math., 104 (1960), 93-140. | fulltext (doi) | MR 121655
[I1] A.D. IONESCU, Fourier integral operators on noncompact symmetric spaces of real rank one, J. Funct. Anal., 174 (2000), 274-300. | fulltext (doi) | MR 1767376 | Zbl 0962.43004
[I2] A. D. IONESCU, Singular integrals on symmetric spaces of real rank one, Duke Math. J., 114 (2002), 101-122. | fulltext (doi) | MR 1915037 | Zbl 1007.43010
[I3] A. D. IONESCU, Singular integrals on symmetric spaces, II, Trans. Amer. Math. Soc., 355 (2003), 3359-3378. | fulltext (doi) | MR 1974692 | Zbl 1014.22012
[Ko] A. N. KOLMOGOROV, Sur les fonctions harmoniques conjuguées et les séries de Fourier, Fund. Math., 7 (1925) 23-28. | fulltext EuDML
[KnS] A. W. KNAPP - E. M. STEIN, Intertwining operators on semisimple Lie groups, Ann. of Math., 93 (1971), 489-578. | fulltext (doi) | MR 460543 | Zbl 0257.22015
[LY] P. LI - S. T. YAU, On the parabolic kernel of the Schrödinger operator, Acta Math., 156 (1986), 153-201. | fulltext (doi) | MR 834612
[MM] G. MAUCERI - S. MEDA, A BMO space for the Ornstein-Uhlenbeck operator, J. Funct. Anal., 252 (2007), 278-313. | fulltext (doi) | MR 2357358
[MMS1] G. MAUCERI - S. MEDA - P. SJÖGREN, Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator, Rev. Mat. Iberoam., 28, no. 1 (2012), 77-91. | fulltext (doi) | MR 2904131 | Zbl 1238.42005
[MMS2] G. MAUCERI - S. MEDA - P. SJÖGREN, A maximal function characterisation of the Hardy space for the Gauss measure, apparirà su Proc. Amer. Math. Soc.
[MMV1] G. MAUCERI - S. MEDA - M. VALLARINO, Estimates for functions of the Laplacian on manifolds with bounded geometry, Math. Res. Lett., 16 (2009), 861-879. | fulltext (doi) | MR 2576703 | Zbl 1202.53043
[MMV2] G. MAUCERI - S. MEDA - M. VALLARINO, Hardy type spaces on certain noncompact manifolds and applications, J. London Math. Soc., 84 (2011), 243-268. | fulltext (doi) | MR 2819699 | Zbl 1228.42018
[MMV3] G. MAUCERI - S. MEDA - M. VALLARINO, Hardy spaces on noncompact symmetric spaces and applications, preprint, 2010. | fulltext (doi) | MR 2819699 | Zbl 1228.42018
[MMV4] G. MAUCERI - S. MEDA - M. VALLARINO, Atomic decomposition of Hardy type spaces on certain noncompact manifolds, J. Geom. Anal. | fulltext (doi) | MR 2927682 | Zbl 1228.42018
[MSV] S. MEDA - P. SJÖGREN - M. VALLARINO, On the $H^1-L^1$ boundedness of operators, Proc. Amer. Math. Soc., 136 (2008), 2921-2931. | fulltext (doi) | MR 2399059 | Zbl 1273.42021
[MV] S. MEDA - M. VALLARINO, Weak type estimates for multiplier operators on noncompact symmetric spaces, Trans. Amer. Math. Soc., 362 (2010), 2993-3026. | fulltext (doi) | MR 2592944 | Zbl 1283.42017
[NTV] F. NAZAROV - S. TREIL - A. VOLBERG, The Tb-theorem on non-homogeneous spaces, Acta Math., 190, no. 2 (2003), 151-239. | fulltext (doi) | MR 1998349 | Zbl 1065.42014
[R] M. RIESZ, Sur les fonctions conjuguées, Math. Zeit., 27 (1927), 218-244. | fulltext EuDML | fulltext (doi) | MR 1544909 | Zbl 53.0259.02
[SC] L. SALOFF-COSTE, Aspects of Sobolev-type inequalities, London Mathematical Society Lecture Note Series 289, Cambridge University Press, 2002. | MR 1872526 | Zbl 0991.35002
[So] P. M. SOARDI, Serie di Fourier in più variabili, Quaderno dell'Uniome Matematica Italiana, 26, Pitagora Ed., Bologna 2004.
[St1] E. M. STEIN, Topics in Harmonic Analysis Related to the Littlewood-Paley Theory, Annals of Math. Studies, No. 63, Princeton N. J., 1970. | MR 252961 | Zbl 0193.10502
[St2] E. M. STEIN, Harmonic Analysis. Real variable methods, orthogonality and oscillatory integrals, Princeton Math. Series No. 43, Princeton N. J., 1993. | MR 1232192 | Zbl 0821.42001
[Str] J.-O. STRÖMBERG, Weak type $L^1$ estimates for maximal functions on non-compact symmetric spaces, Ann. of Math., 114 (1981), 115-126. | fulltext (doi) | MR 625348
[To] X. TOLSA, BMO, $H^1$, and Calderón-Zygmund operators for non doubling measures, Math. Ann., 319 (2001), 89-149. | fulltext (doi) | MR 1812821

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le Attività Culturali