메뉴 건너뛰기




Volumn 60, Issue 4, 2008, Pages 527-547

Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains

Author keywords

Diffusions; Intrinsic ultracontractivity; Invariant functions; Logaritheoremic Sobolev inequality; Semigroups; Ultracontractivity

Indexed keywords


EID: 59649124494     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1232376165     Document Type: Article
Times cited : (40)

References (22)
  • 1
    • 84990553776 scopus 로고
    • Brownian motion and Harnack inequality for Schrödinger operators
    • M. AIZENMAN AND B. SIMON, Brownian motion and Harnack inequality for Schrödinger operators, Commun. Pure Appl. Math. 35 (1982), 209-273.
    • (1982) Commun. Pure Appl. Math , vol.35 , pp. 209-273
    • AIZENMAN, M.1    SIMON, B.2
  • 2
    • 0002417396 scopus 로고    scopus 로고
    • First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains
    • A. ANCONA, First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains, J. Anal. Math. 72 (1997), 45-92.
    • (1997) J. Anal. Math , vol.72 , pp. 45-92
    • ANCONA, A.1
  • 3
    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semigroups
    • Ecole d'été de Saint Flour 1992, Springer
    • D. BAKRY, L'hypercontractivité et son utilisation en théorie des semigroups, In Ecole d'été de Saint Flour 1992, Lecture Notes in Math. 1581, Springer, 1994.
    • (1994) Lecture Notes in Math , vol.1581
    • BAKRY, D.1
  • 4
    • 0001743189 scopus 로고
    • Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
    • R. BAÑUELOS, Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators, J. Funct. Anal. 100 (1991), 181-206.
    • (1991) J. Funct. Anal , vol.100 , pp. 181-206
    • BAÑUELOS, R.1
  • 6
    • 0031572650 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity and conditional gauge for symmetric stable processes
    • Z.-Q. CHEN AND R. SONG, Intrinsic ultracontractivity and conditional gauge for symmetric stable processes, J. Funct. Anal. 150 (1997), 204-239.
    • (1997) J. Funct. Anal , vol.150 , pp. 204-239
    • CHEN, Z.-Q.1    SONG, R.2
  • 7
    • 0005272320 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains
    • Z.-Q. CHEN AND R. SONG, Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains, Illinois J. Math. 44(1) (2000), 138-160.
    • (2000) Illinois J. Math , vol.44 , Issue.1 , pp. 138-160
    • CHEN, Z.-Q.1    SONG, R.2
  • 10
    • 0000573290 scopus 로고
    • Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
    • E. B. DAVIES AND B. SIMON, Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians, J. Funct. Anal. 59 (1984), 335-395.
    • (1984) J. Funct. Anal , vol.59 , pp. 335-395
    • DAVIES, E.B.1    SIMON, B.2
  • 11
    • 0035635039 scopus 로고    scopus 로고
    • On the quasi-regularity of semi-Dirichlet forms
    • P. J. FITZSIMMONS, On the quasi-regularity of semi-Dirichlet forms, Potential Anal. 15 (2001), 151-185.
    • (2001) Potential Anal , vol.15 , pp. 151-185
    • FITZSIMMONS, P.J.1
  • 12
    • 0001429116 scopus 로고
    • Logaritheoremic Sobolev inequalities
    • L. GROSS, Logaritheoremic Sobolev inequalities, Amer. J. Math. 97 (1975), 1061-1083.
    • (1975) Amer. J. Math , vol.97 , pp. 1061-1083
    • GROSS, L.1
  • 13
    • 59649088249 scopus 로고    scopus 로고
    • L. GROSS, Logaritheoremic Sobolev inequalities and contractivity properties of semigroups, Drichlet forms (Varenna, 1992), 54-88, Lecture Notes in Math. 1563, Springer, Berlin, 1993.
    • L. GROSS, Logaritheoremic Sobolev inequalities and contractivity properties of semigroups, Drichlet forms (Varenna, 1992), 54-88, Lecture Notes in Math. 1563, Springer, Berlin, 1993.
  • 14
    • 34147145568 scopus 로고    scopus 로고
    • Two-sided estimates on the density of Brownian motion with singular drift
    • P. KIM AND R. SONG, Two-sided estimates on the density of Brownian motion with singular drift, Illinois J. Math., 50 (2006), 635-688.
    • (2006) Illinois J. Math , vol.50 , pp. 635-688
    • KIM, P.1    SONG, R.2
  • 15
    • 42349085923 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity of non-symmetric diffusions with measure-valued drifts and potentials
    • P. KIM AND R. SONG, Intrinsic ultracontractivity of non-symmetric diffusions with measure-valued drifts and potentials, Ann. Probab. 36 (2008), 1904-1945.
    • (2008) Ann. Probab , vol.36 , pp. 1904-1945
    • KIM, P.1    SONG, R.2
  • 16
    • 59349119766 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity for non-symmetric Levy processes
    • to appear in
    • P. KIM AND R. SONG, Intrinsic ultracontractivity for non-symmetric Levy processes, to appear in Forum Math.
    • Forum Math
    • KIM, P.1    SONG, R.2
  • 18
    • 0031498748 scopus 로고    scopus 로고
    • Semismall perturbations in the Martin theory for elliptic equations
    • M. MURATA, Semismall perturbations in the Martin theory for elliptic equations, Israel J. Math. 102 (1997), 29-60.
    • (1997) Israel J. Math , vol.102 , pp. 29-60
    • MURATA, M.1
  • 19
    • 84968480374 scopus 로고
    • Hypercontractivity estimates for nonselfadjoint diffusion semigroups
    • R. G. PINSKY, Hypercontractivity estimates for nonselfadjoint diffusion semigroups, Proc. Amer. Math. Soc. 104 (1988), 532-536.
    • (1988) Proc. Amer. Math. Soc , vol.104 , pp. 532-536
    • PINSKY, R.G.1
  • 20
    • 0002813206 scopus 로고
    • The lifetimes of conditioned diffusion processes
    • R. G. PINSKY, The lifetimes of conditioned diffusion processes, Ann. Inst. Henri Poincaré 26 (1990), 87-99.
    • (1990) Ann. Inst. Henri Poincaré , vol.26 , pp. 87-99
    • PINSKY, R.G.1
  • 21
    • 0242381983 scopus 로고    scopus 로고
    • Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds
    • M. RÖCKNER AND F.-Y. WANG, Supercontractivity and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds, Forum Math. 15 (2003), 893-921.
    • (2003) Forum Math , vol.15 , pp. 893-921
    • RÖCKNER, M.1    WANG, F.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.