메뉴 건너뛰기




Volumn 26, Issue 3, 1998, Pages 507-543

An Exponential Transform and Regularity of Free Boundaries in Two Dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002317807     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (28)

References (34)
  • 1
    • 0000553024 scopus 로고
    • Finitely generatedKleinian groups
    • L. V. AHLFORS, Finitely generatedKleinian groups. Amer. J. Math. 86 (1964), 413-429.
    • (1964) Amer. J. Math , vol.86 , pp. 413-429
    • AHLFORS, L. V.1
  • 2
    • 51249192119 scopus 로고
    • Domains in which analytic functions satisfy quadrature identities
    • D . AHARONOV - H . S. SHAPIRO, Domains in which analytic functions satisfy quadrature identities, J. Analyse Math. 30 (1976), 39-73.
    • (1976) J. Analyse Math , vol.30 , pp. 39-73
    • AHARONOV, D .1    SHAPIRO, H . S.2
  • 3
    • 51249167048 scopus 로고
    • An approximation theorem
    • L . BERS, An approximation theorem, J. Anal. Math. 14 (1965), 1-4.
    • (1965) J. Anal. Math , vol.14 , pp. 1-4
    • BERS, L .1
  • 4
    • 0002931189 scopus 로고
    • The determinant invariant for operators with trace class self-commutator
    • Springer, Berlin
    • L . BROWN, The determinant invariant for operators with trace class self-commutator, In: "Proc. Conference on Operator Theory", Lecture Notes in Math. Vol. 345, Springer, Berlin, 1973.
    • (1973) Proc. Conference on Operator Theory", Lecture Notes in Math , vol.345
    • BROWN, L .1
  • 5
  • 6
    • 0001519449 scopus 로고
    • Local properties of solutions of elliptic partial differentialequations
    • A. P. CALDERÓN - A. ZYGMUND, Local properties of solutions of elliptic partial differentialequations. Studia Math. 20 (1961), 171-225.
    • (1961) Studia Math , vol.20 , pp. 171-225
    • CALDERÓN, A. P.1    ZYGMUND, A.2
  • 7
    • 0000379516 scopus 로고
    • An exponentialformula for determining functions
    • R. W. CAREY - J. D. PINCUS, An exponentialformula for determining functions, Indiana Univ. Math. J. 23 (1974), 1031-1042.
    • (1974) Indiana Univ. Math. J , vol.23 , pp. 1031-1042
    • CAREY, R. W.1    PINCUS, J. D.2
  • 8
    • 0000345331 scopus 로고
    • A kernelfor operators with one-dimensional self-commutator
    • K. CLANCEY, A kernelfor operators with one-dimensional self-commutator. Integral Equations Operator Theory 7 (1984), 441-458.
    • (1984) Integral Equations Operator Theory , vol.7 , pp. 441-458
    • CLANCEY, K.1
  • 9
    • 0003025839 scopus 로고
    • Hilbert space operators with one-dimensional self-commutator
    • K. CLANCEY, Hilbert space operators with one-dimensional self-commutator, J. Operator Theory 13 (1985), 265-289.
    • (1985) J. Operator Theory , vol.13 , pp. 265-289
    • CLANCEY, K.1
  • 11
    • 0003442750 scopus 로고
    • The Schwarz Function and its Applications, Cams Mathematical Monographs
    • P. J. DAVIS, The Schwarz Function and its Applications, Cams Mathematical Monographs, Math. Assoc. Amer., 1974.
    • (1974) Math. Assoc. Amer
    • DAVIS, P. J.1
  • 12
    • 0000962690 scopus 로고
    • Quadrature identities and the Schottky double
    • B. GusTAFSSON, Quadrature identities and the Schottky double. Acta Appi. Math. 1 (1983), 209-240.
    • (1983) Acta Appi. Math , vol.1 , pp. 209-240
    • GusTAFSSON, B.1
  • 13
    • 51249175348 scopus 로고
    • Singular and special points on quadrature domains from an algebraic geometric point ofview
    • B. GusTAFSSON, Singular and special points on quadrature domains from an algebraic geometric point ofview, J. Anal. Math. 51 (1988), 91-117.
    • (1988) J. Anal. Math , vol.51 , pp. 91-117
    • GusTAFSSON, B.1
  • 14
    • 0000380961 scopus 로고
    • Traces of commutators of integral operators
    • J. W. HELTON - R. HOWE, Traces of commutators of integral operators. Acta Math. 135(1975), 271-305.
    • (1975) Acta Math , vol.135 , pp. 271-305
    • HELTON, J. W.1    HOWE, R.2
  • 16
    • 0030460108 scopus 로고    scopus 로고
    • On the Newtonian potential theory for unbounded sources and its applications to free boundary problems
    • L . K A R P - A. MARGULIS, On the Newtonian potential theory for unbounded sources and its applications to free boundary problems, J. Anal. Math. 70 (1996), 1-63.
    • (1996) J. Anal. Math , vol.70 , pp. 1-63
    • MARGULIS, L . K A R P - A.1
  • 17
    • 0003629761 scopus 로고
    • The Markov moment problem and extremal problems
    • Amer. Math. Soc, Providence, R.I
    • M. G. KREIN - A . A . NUDELMAN, The Markov moment problem and extremal problems. Transi. Math. Monographs, vol. 50, Amer. Math. Soc, Providence, R.I., 1977.
    • (1977) Transi. Math. Monographs , vol.50
    • KREIN, M. G.1    NUDELMAN, A . A .2
  • 19
    • 0001230096 scopus 로고
    • Commutators and systems of singular integral equations I
    • J. D. PiNCUS, Commutators and systems of singular integral equations I, Acta Math. 121 (1968), 219-249.
    • (1968) Acta Math , vol.121 , pp. 219-249
    • PiNCUS, J. D.1
  • 20
    • 84968466206 scopus 로고
    • A representation for determining functions
    • J. D. PiNCUS - J. RovNYAK, A representation for determining functions, Proc. Amer. Math. Soc. 22 (1969), 498-502.
    • (1969) Proc. Amer. Math. Soc , vol.22 , pp. 498-502
    • PiNCUS, J. D.1    RovNYAK, J.2
  • 21
    • 0030584506 scopus 로고    scopus 로고
    • Extremal solutions of the two-dimensional L-problem of moments
    • M. PUTIN AR, Extremal solutions of the two-dimensional L-problem of moments, J . Funct. Anal. 136 (1996), 331-364.
    • (1996) J . Funct. Anal , vol.136 , pp. 331-364
    • PUTIN AR, M.1
  • 22
    • 51249169032 scopus 로고
    • Linear analysis of quadrature domains
    • M. PuTiNAR, Linear analysis of quadrature domains. Ark. Mat. 33 (1995), 357-376.
    • (1995) Ark. Mat , vol.33 , pp. 357-376
    • PuTiNAR, M.1
  • 23
    • 85129583320 scopus 로고    scopus 로고
    • Extremal solutions of the two-dimensional L-problem of moments II
    • (to appear)
    • M. PUTIN AR, Extremal solutions of the two-dimensional L-problem of moments II, J. Approx. Theory (to appear).
    • J. Approx. Theory
    • PUTIN AR, M.1
  • 24
    • 0011334773 scopus 로고
    • Generalized derivatives and differentiability almost everywhere
    • (translated from Russian)
    • Yu G . RESHETNYAK, Generalized derivatives and differentiability almost everywhere. Mat. Sb. 75 (1968), 323-334 (translated from Russian).
    • (1968) Mat. Sb , vol.75 , pp. 323-334
    • Yu G, Yu G1    RESHETNYAK2
  • 26
    • 0003361311 scopus 로고
    • Quadrature Domains
    • Springer-Verlag, Beriin-Heidelberg
    • M. SAKAI, Quadrature Domains, Lecture Notes in Math. Vol. no 934, Springer-Verlag, Beriin-Heidelberg, 1982.
    • (1982) Lecture Notes in Math , vol.934
    • SAKAI, M.1
  • 27
    • 51249185501 scopus 로고
    • Null quadrature domains
    • M. SAKAI, Null quadrature domains, J. Anal. Math. 40 (1981), 144-154.
    • (1981) J. Anal. Math , vol.40 , pp. 144-154
    • SAKAI, M.1
  • 28
    • 0001191658 scopus 로고
    • Regularity ofboundary having a Schwarz function
    • M. SAKAI, Regularity ofboundary having a Schwarz function. Acta Math. 166 (1991), 263-297.
    • (1991) Acta Math , vol.166 , pp. 263-297
    • SAKAI, M.1
  • 29
    • 21144459538 scopus 로고
    • Regularity ofboundaries ofquadrature domains in two dimensions
    • M. SAKAI, Regularity ofboundaries ofquadrature domains in two dimensions, SIAM J. Math. Anal. 24 (1994), 341-364.
    • (1994) SIAM J. Math. Anal , vol.24 , pp. 341-364
    • SAKAI, M.1
  • 30
    • 0000697048 scopus 로고
    • Regularity of free boundaries in two dimensions
    • M. SAKAI, Regularity of free boundaries in two dimensions, Ann. Scuola Norm Sup. Pisa CI. Sci. (4) 20 (1993), 323-339.
    • (1993) Ann. Scuola Norm Sup. Pisa CI. Sci. (4) , vol.20 , pp. 323-339
    • SAKAI, M.1
  • 31
    • 0011373530 scopus 로고
    • Unbounded quadrature domains
    • C.A. Berenstein (ed), Lecture Notes in Mat., Springer-Verlag
    • H. S. SHAPIRO, Unbounded quadrature domains. In: "Complex Analysis I, Proceedings, University of Maryland 1985-86", C.A. Berenstein (ed.), Lecture Notes in Mat., Vol. 1275, Springer-Verlag, 1987, 287-331.
    • (1987) Complex Analysis I, Proceedings, University of Maryland 1985-86 , vol.1275 , pp. 287-331
    • SHAPIRO, H. S.1
  • 34
    • 0001576068 scopus 로고
    • On the kernels associated with a class of hyponormal operators
    • D. Xia, On the kernels associated with a class of hyponormal operators. Integral Equations Operator Theory 6 (1983), 444-452.
    • (1983) Integral Equations Operator Theory , vol.6 , pp. 444-452
    • Xia, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.