메뉴 건너뛰기




Volumn 3, Issue SPEC. ISS., 1997, Pages

Flatness of Domains and Doubling Properties of Measures Supported on their Boundary, with Applications to Harmonic Measure

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1842780203     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02656496     Document Type: Article
Times cited : (5)

References (29)
  • 1
    • 33845404914 scopus 로고
    • Existence and Regularity for a minimum problem with free boundary
    • Alt, H.W. and Caffarelli, L.A. (1981). Existence and Regularity for a minimum problem with free boundary, J. Reine Angew. Math. 325, 105-144.
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.W.1    Caffarelli, L.A.2
  • 3
    • 84990604298 scopus 로고
    • A Harnack Inequality Approach to the Regularity of Free Boundaries. Part II: Flat Free Boundaries are Lipschitz
    • Caffarelli, L.A. (1989). A Harnack Inequality Approach to the Regularity of Free Boundaries. Part II: Flat Free Boundaries are Lipschitz, Comm. Pure Applied Math. 42, 55-78.
    • (1989) Comm. Pure Applied Math. , vol.42 , pp. 55-78
    • Caffarelli, L.A.1
  • 5
    • 0017727486 scopus 로고
    • Estimates for Harmonic Measure
    • Dahlberg, B. (1977). Estimates for Harmonic Measure, Arch. Rational Mech. Anal., 65, 275-288.
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 275-288
    • Dahlberg, B.1
  • 6
    • 0009412910 scopus 로고
    • Lipschitz Approximation to Hypersurfaces, Harmonic Measure, and Singular Integrals
    • David, G. and Jerison, D. (1990). Lipschitz Approximation to Hypersurfaces, Harmonic Measure, and Singular Integrals, Indiana Univ. Math. J., 39, 831-845.
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 831-845
    • David, G.1    Jerison, D.2
  • 9
    • 0000017748 scopus 로고
    • Regularity of the Poisson Kernel and Free Boundary Problems
    • Jerison, D. (1990). Regularity of the Poisson Kernel and Free Boundary Problems, Colloquium Mathematicum, 60-61, 547-567.
    • (1990) Colloquium Mathematicum , vol.60-61 , pp. 547-567
    • Jerison, D.1
  • 10
    • 0002004980 scopus 로고
    • Boundary Behavior of Harmonic Functions in Non-tangentially Accessible Domains
    • Jerison, D. and Kenig, C. (1982). Boundary Behavior of Harmonic Functions in Non-tangentially Accessible Domains, Adv. in Math., 46, 80-147.
    • (1982) Adv. in Math. , vol.46 , pp. 80-147
    • Jerison, D.1    Kenig, C.2
  • 13
    • 0001905563 scopus 로고
    • Sur la representation conforme des domaines limités par des courbes rectifiables
    • Keldysch, M. and Laurentiev, M. (1937). Sur la representation conforme des domaines limités par des courbes rectifiables, Ann. Sci. EC. Norm. Sup., 54, pp. 1-38.
    • (1937) Ann. Sci. EC. Norm. Sup. , vol.54 , pp. 1-38
    • Keldysch, M.1    Laurentiev, M.2
  • 14
    • 1842684634 scopus 로고    scopus 로고
    • Harmonic measure on locally flat domains
    • Kenig, C. and Toro, T. Harmonic measure on locally flat domains, to appear in Duke Math. Journal.
    • Duke Math. Journal
    • Kenig, C.1    Toro, T.2
  • 16
    • 0000881329 scopus 로고
    • Besicovitch-type properties of measures and submanifolds
    • Kowalski, O. and Preiss, D. (1987). Besicovitch-type properties of measures and submanifolds, J. reine angew. Math. 379, 115-151.
    • (1987) J. Reine Angew. Math. , vol.379 , pp. 115-151
    • Kowalski, O.1    Preiss, D.2
  • 17
    • 0039638683 scopus 로고
    • Boundary Problems in the Theory of Univalent Functions
    • Lavrentiev, M. (1963). Boundary Problems in the Theory of Univalent Functions, Mat. Sb. (N.S.) 1 (1936), 815-844. [English trans.]: Amer. Math. Soc. Trans., Ser 2, 32, 1-36.
    • (1963) Mat. Sb. (N.S.) , vol.1 , Issue.1936 , pp. 815-844
    • Lavrentiev, M.1
  • 18
    • 1842785360 scopus 로고    scopus 로고
    • [English trans.]
    • Lavrentiev, M. (1963). Boundary Problems in the Theory of Univalent Functions, Mat. Sb. (N.S.) 1 (1936), 815-844. [English trans.]: Amer. Math. Soc. Trans., Ser 2, 32, 1-36.
    • Amer. Math. Soc. Trans., Ser 2 , vol.32 , pp. 1-36
  • 21
    • 0000320262 scopus 로고
    • On Univalent Functions, Bloch Functions and VMOA
    • Pommerenke, Ch. (1978). On Univalent Functions, Bloch Functions and VMOA, Math. Ann., 236, 199-208.
    • (1978) Math. Ann. , vol.236 , pp. 199-208
    • Pommerenke, Ch.1
  • 22
    • 0001684717 scopus 로고
    • n: Distribution, rectifiability, and densities
    • n: distribution, rectifiability, and densities, Ann. of Math., 125, 537-643.
    • (1987) Ann. of Math. , vol.125 , pp. 537-643
    • Preiss, D.1
  • 23
    • 51249192844 scopus 로고
    • Solution of the Plateau problem for m-dimensional surfaces of varying topological type
    • Reifenberg, E. (1960). Solution of the Plateau problem for m-dimensional surfaces of varying topological type, Acta Math., 104, 1-92.
    • (1960) Acta Math. , vol.104 , pp. 1-92
    • Reifenberg, E.1
  • 24
    • 0001498005 scopus 로고
    • Chord-Arc Surfaces with Small Constant, I
    • Semmes, S. (1991). Chord-Arc Surfaces with Small Constant, I, Adv. in Math., 85, 198-223.
    • (1991) Adv. in Math. , vol.85 , pp. 198-223
    • Semmes, S.1
  • 25
    • 0001498001 scopus 로고
    • Chord-Arc Surfaces with Small Constant, II: Good Parametrizations
    • Semmes, S. (1991). Chord-Arc Surfaces with Small Constant, II: Good Parametrizations, Adv. in Math., 88, 170-199.
    • (1991) Adv. in Math. , vol.88 , pp. 170-199
    • Semmes, S.1
  • 26
    • 0000750069 scopus 로고
    • Analysis vs. Geometry on a Class of Rectifiable Hypersurfaces
    • Semmes, S. (1990). Analysis vs. Geometry on a Class of Rectifiable Hypersurfaces, Indiana Univ. J., 39, 1005-1035.
    • (1990) Indiana Univ. J. , vol.39 , pp. 1005-1035
    • Semmes, S.1
  • 28
    • 84974004393 scopus 로고
    • Geometric Conditions and Existence of Bilipschitz Parameterizations
    • Toro, T. (1995). Geometric Conditions and Existence of Bilipschitz Parameterizations, Duke Math. J., 77, 193-227.
    • (1995) Duke Math. J. , vol.77 , pp. 193-227
    • Toro, T.1
  • 29
    • 84953751498 scopus 로고
    • Cambridge University Press
    • Zygmung, A. (1959). Trigonometric Series, Vol 1, Cambridge University Press.
    • (1959) Trigonometric Series , vol.1
    • Zygmung, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.