메뉴 건너뛰기




Volumn 49, Issue 4, 2005, Pages 1271-1297

Note on H1 spaces related to degenerate schrödinger operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33745327842     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1258138138     Document Type: Article
Times cited : (49)

References (19)
  • 1
    • 27944458071 scopus 로고    scopus 로고
    • On the regularity of sample paths of subelliptic difusions on manifolds
    • MR 2166728
    • A. Bendikov and L. Saloff-Coste, On the regularity of sample paths of subelliptic difusions on manifolds, Osaka J. Math. 42 (2005), 677-722. MR 2166728
    • (2005) Osaka J. Math. , vol.42 , pp. 677-722
    • Bendikov, A.1    Saloff-Coste, L.2
  • 2
    • 84966261604 scopus 로고
    • Extensions of Hardy spaces and their use in analysis
    • MR 0447954 (56 #6264)
    • R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. MR 0447954 (56 #6264)
    • (1977) Bull. Amer. Math. Soc. , vol.83 , pp. 569-645
    • Coifman, R.R.1    Weiss, G.2
  • 3
    • 0000683512 scopus 로고    scopus 로고
    • Hardy spaces associated with some Schrödinger operators
    • MR 1472695 (98k:42029)
    • J. Dziubański and J. Zienkiewicz, Hardy spaces associated with some Schrödinger operators, Studia Math. 126 (1997), 149-160. MR 1472695 (98k:42029)
    • (1997) Studia Math. , vol.126 , pp. 149-160
    • Dziubański, J.1    Zienkiewicz, J.2
  • 4
    • 0033240602 scopus 로고    scopus 로고
    • 1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality
    • MR 1715409 (2000j:47085)
    • 1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality, Rev. Mat. Iberoamericana 15 (1999), 279-296. MR 1715409 (2000j:47085)
    • (1999) Rev. Mat. Iberoamericana , vol.15 , pp. 279-296
  • 5
    • 13244297444 scopus 로고    scopus 로고
    • p spaces for Schrödinger operators
    • Banach Center Publ., Polish Acad. Sci., Warsaw. MR 1971563 (2004f:42035)
    • p spaces for Schrödinger operators, Fourier analysis and related topics, Banach Center Publ., vol. 56, Polish Acad. Sci., Warsaw, 2002, pp. 45-53. MR 1971563 (2004f:42035)
    • (2002) Fourier Analysis and Related Topics , vol.56 , pp. 45-53
  • 6
    • 85017360084 scopus 로고    scopus 로고
    • p spaces associated with Schrödinger operators with potentials from reverse Hölder classes
    • MR 2032068 (2004k:42038)
    • p spaces associated with Schrödinger operators with potentials from reverse Hölder classes, Colloq. Math. 98 (2003), 5-38. MR 2032068 (2004k:42038)
    • (2003) Colloq. Math. , vol.98 , pp. 5-38
  • 7
    • 0001616703 scopus 로고
    • The Wiener test for degenerate elliptic equations
    • MR 688024 (84g:35067)
    • E. Fabes, D. Jerison, and C. Kenig, The Wiener test for degenerate elliptic equations, Ann. Inst. Fourier (Grenoble) 32 (1982), 151-182. MR 688024 (84g:35067)
    • (1982) Ann. Inst. Fourier (Grenoble) , vol.32 , pp. 151-182
    • Fabes, E.1    Jerison, D.2    Kenig, C.3
  • 8
    • 0003035995 scopus 로고
    • The local regularity of solutions of degenerate elliptic equations
    • MR 643158 (84i:35070)
    • E. Fabes, C. E. Kenig, and R. P. Serapioni, The local regularity of solutions of degenerate elliptic equations, Comm. Partial Differential Equations 7 (1982), 77-116. MR 643158 (84i:35070)
    • (1982) Comm. Partial Differential Equations , vol.7 , pp. 77-116
    • Fabes, E.1    Kenig, C.E.2    Serapioni, R.P.3
  • 9
    • 84968470266 scopus 로고
    • The uncertainty principle
    • MR 707957 (85f:35001)
    • C. L. Fefferman, The uncertainty principle, Bull. Amer. Math. Soc. (N.S.) 9 (1983), 129-206. MR 707957 (85f:35001)
    • (1983) Bull. Amer. Math. Soc. (N.S.) , vol.9 , pp. 129-206
    • Fefferman, C.L.1
  • 10
    • 0003228611 scopus 로고
    • Dirichlet forms and symmetric Markov processes
    • Walter de Gruyter & Co., Berlin. MR 1303354 (96f:60126)
    • M. Fukushima, Y. Ōshima, and M. Takeda, Dirichlet forms and symmetric Markov processes, de Gruyter Studies in Mathematics, vol. 19, Walter de Gruyter & Co., Berlin, 1994. MR 1303354 (96f:60126)
    • (1994) De Gruyter Studies in Mathematics , vol.19
    • Fukushima, M.1    Oshima, Y.2    Takeda, M.3
  • 11
    • 0003070229 scopus 로고
    • Weighted norm inequalities and related topics
    • North-Holland Publishing Co., Amsterdam. MR 807149 (87d:42023)
    • J. García-Cuerva and J. L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, vol. 116, North-Holland Publishing Co., Amsterdam, 1985. MR 807149 (87d:42023)
    • (1985) North-Holland Mathematics Studies , vol.116
    • García-Cuerva, J.1    Rubio De Francia, J.L.2
  • 12
    • 84972551122 scopus 로고
    • A local version of real Hardy spaces
    • MR 523600 (80h:46052)
    • D. Goldberg, A local version of real Hardy spaces, Duke Math. J. 46 (1979), 27-42. MR 523600 (80h:46052)
    • (1979) Duke Math. J. , vol.46 , pp. 27-42
    • Goldberg, D.1
  • 13
    • 0041034140 scopus 로고    scopus 로고
    • On the relation between elliptic and parabolic Harnack inequalities
    • MR 1860672 (2002g:58024)
    • W. Hebisch and L. Saloff-Coste, On the relation between elliptic and parabolic Harnack inequalities, Ann. Inst. Fourier (Grenoble) 51 (2001), 1437-1481. MR 1860672 (2002g:58024)
    • (2001) Ann. Inst. Fourier (Grenoble) , vol.51 , pp. 1437-1481
    • Hebisch, W.1    Saloff-Coste, L.2
  • 14
    • 0034361279 scopus 로고    scopus 로고
    • Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials
    • MR 1749075 (2001c:35172)
    • K. Kurata and S. Sugano, Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials, Studia Math. 138 (2000), 101-119. MR 1749075 (2001c:35172)
    • (2000) Studia Math. , vol.138 , pp. 101-119
    • Kurata, K.1    Sugano, S.2
  • 15
    • 0038201885 scopus 로고    scopus 로고
    • An estimate on the heat kernel of magnetic Schrödinger operators and uniformly elliptic operators with non-negative potentials
    • MR 1794292 (2001j:35046)
    • K. Kurata, An estimate on the heat kernel of magnetic Schrödinger operators and uniformly elliptic operators with non-negative potentials, J. London Math. Soc. (2) 62 (2000), 885-903. MR 1794292 (2001j:35046)
    • (2000) J. London Math. Soc. (2) , vol.62 , pp. 885-903
    • Kurata, K.1
  • 16
    • 0001533991 scopus 로고
    • A decomposition into atoms of distributions on spaces of homogeneous type
    • MR 546296 (81c:32017b)
    • R. A. Macías and C. Segovia, A decomposition into atoms of distributions on spaces of homogeneous type, Adv. in Math. 33 (1979), 271-309. MR 546296 (81c:32017b)
    • (1979) Adv. in Math. , vol.33 , pp. 271-309
    • Macías, R.A.1    Segovia, C.2
  • 17
    • 0742316786 scopus 로고    scopus 로고
    • Aspects of Sobolev-type inequalities
    • Cambridge University Press, Cambridge. MR 1872526 (2003c:46048)
    • L. Saloff-Coste, Aspects of Sobolev-type inequalities, London Mathematical Society Lecture Note Series, vol. 289, Cambridge University Press, Cambridge, 2002. MR 1872526 (2003c:46048)
    • (2002) London Mathematical Society Lecture Note Series , vol.289
    • Saloff-Coste, L.1
  • 18
    • 0000234868 scopus 로고
    • p estimates for Schrödinger operators with certain potentials
    • MR 1343560 (96h:35037)
    • p estimates for Schrödinger operators with certain potentials, Ann. Inst. Fourier (Grenoble) 45 (1995), 513-546. MR 1343560 (96h:35037)
    • (1995) Ann. Inst. Fourier (Grenoble) , vol.45 , pp. 513-546
    • Shen, Z.W.1
  • 19
    • 84968509382 scopus 로고
    • p on the space of homogeneous type
    • MR 586737 (81j:46085)
    • p on the space of homogeneous type, Trans. Amer. Math. Soc. 262 (1980), 579-592. MR 586737 (81j:46085)
    • (1980) Trans. Amer. Math. Soc. , vol.262 , pp. 579-592
    • Uchiyama, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.