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Volumn 192, Issue 3-4, 2001, Pages 515-535

C1-approximation and extension of subharmonic functions

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EID: 0035649751     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm2001v192n04abeh000556     Document Type: Article
Times cited : (19)

References (31)
  • 1
    • 0001162124 scopus 로고
    • The analytic capacity of sets in problems in approximation theory
    • A. G. Vitushkin, "The analytic capacity of sets in problems in approximation theory", Uspekhi Mat. Nauk 22:6 (1967), 141-199; English transl. in Russian Math. Surveys 22 (1967).
    • (1967) Uspekhi Mat. Nauk , vol.22 , Issue.6 , pp. 141-199
    • Vitushkin, A.G.1
  • 2
    • 85164634946 scopus 로고
    • English transl.
    • A. G. Vitushkin, "The analytic capacity of sets in problems in approximation theory", Uspekhi Mat. Nauk 22:6 (1967), 141-199; English transl. in Russian Math. Surveys 22 (1967).
    • (1967) Russian Math. Surveys , vol.22
  • 3
  • 4
    • 84972547797 scopus 로고
    • m approximation by solutions of elliptic equations, and Calderón-Zygmund operators
    • m approximation by solutions of elliptic equations, and Calderón-Zygmund operators", Duke Math. J. 55 (1987), 157-187.
    • (1987) Duke Math. J. , vol.55 , pp. 157-187
    • Verdera, J.1
  • 5
    • 0007168309 scopus 로고
    • 1-norm
    • 1-norm", Mat. Sb. 181 (1990), 1341-1365; English transl. in Math. USSR-Sb. 71 (1992).
    • (1990) Mat. Sb. , vol.181 , pp. 1341-1365
    • Paramonov, P.V.1
  • 6
    • 85164645546 scopus 로고    scopus 로고
    • English transl. 1992
    • 1-norm", Mat. Sb. 181 (1990), 1341-1365; English transl. in Math. USSR-Sb. 71 (1992).
    • Math. USSR-Sb. , vol.71
  • 7
    • 0000199808 scopus 로고
    • n
    • n", Mat. Sb. 184:2 (1993), 105-128; English transl. in Russian Acad. Sci. Sb. Math. 78 (1994).
    • (1993) Mat. Sb. , vol.184 , Issue.2 , pp. 105-128
    • Paramonov, P.V.1
  • 8
    • 85164650771 scopus 로고
    • English transl.
    • n", Mat. Sb. 184:2 (1993), 105-128; English transl. in Russian Acad. Sci. Sb. Math. 78 (1994).
    • (1994) Russian Acad. Sci. Sb. Math. , vol.78
  • 9
    • 0033147832 scopus 로고    scopus 로고
    • 2-boundedness of the Cauchy integral operator for continuous measures
    • 2-boundedness of the Cauchy integral operator for continuous measures", Duke Math. J. 98 (1999), 269-304.
    • (1999) Duke Math. J. , vol.98 , pp. 269-304
    • Tolsa, X.1
  • 11
    • 0007240420 scopus 로고
    • Some new criteria for uniform approximability of functions by rational fractions
    • P. V. Paramonov, "Some new criteria for uniform approximability of functions by rational fractions", Mat. Sb. 186:9 (1995), 97-112; English transl. in Sb. Math. 186 (1995).
    • (1995) Mat. Sb. , vol.186 , Issue.9 , pp. 97-112
    • Paramonov, P.V.1
  • 12
    • 85164649025 scopus 로고
    • English transl.
    • P. V. Paramonov, "Some new criteria for uniform approximability of functions by rational fractions", Mat. Sb. 186:9 (1995), 97-112; English transl. in Sb. Math. 186 (1995).
    • (1995) Sb. Math. , vol.186
  • 13
    • 0022203309 scopus 로고
    • Basis systems and their role in the approximation of the earth's gravitational field
    • W. Freeden, "Basis systems and their role in the approximation of the Earth's gravitational field", Gerlands Beitr. Geophysik, Leipzig 94:1 (1985), 19-34.
    • (1985) Gerlands Beitr. Geophysik, Leipzig , vol.94 , Issue.1 , pp. 19-34
    • Freeden, W.1
  • 14
    • 0000093370 scopus 로고
    • Estimate of the Cauchy integral along an analytic curve
    • M. S. Mel'nikov, "Estimate of the Cauchy integral along an analytic curve", Mat. Sb. 71 (113) (1966), 503-515; English transl. in Amer. Math. Soc. Transl. (2) 80 (1969).
    • (1966) Mat. Sb. , vol.71 , Issue.113 , pp. 503-515
    • Mel'nikov, M.S.1
  • 15
    • 85164644104 scopus 로고
    • English transl.
    • M. S. Mel'nikov, "Estimate of the Cauchy integral along an analytic curve", Mat. Sb. 71 (113) (1966), 503-515; English transl. in Amer. Math. Soc. Transl. (2) 80 (1969).
    • (1969) Amer. Math. Soc. Transl. , vol.80 , Issue.2
  • 17
    • 0007237226 scopus 로고
    • Subharmonic extension and approximation
    • P. M. Gauthier, "Subharmonic extension and approximation", Canadian Math. Bull. 37 (1994), 46-53.
    • (1994) Canadian Math. Bull. , vol.37 , pp. 46-53
    • Gauthier, P.M.1
  • 18
    • 0001720260 scopus 로고
    • A boundedness criterion for generalized Calderón-Zygmund operators
    • G. David and J. L. Journé, "A boundedness criterion for generalized Calderón-Zygmund operators", Ann. of Math. 120 (1984), 371-397.
    • (1984) Ann. of Math. , vol.120 , pp. 371-397
    • David, G.1    Journé, J.L.2
  • 19
    • 0003279962 scopus 로고
    • Wavelets and singular integrals on curves and surfaces
    • Springer-Verlag, Berlin
    • G. David, Wavelets and singular integrals on curves and surfaces, Lecture Notes in Math., vol. 1465, Springer-Verlag, Berlin 1991.
    • (1991) Lecture Notes in Math. , vol.1465
    • David, G.1
  • 20
    • 0002350898 scopus 로고
    • Opérateurs de Calderön-Zygmund, fonctions para-accrétives et interpolation
    • G. David, J. L. Journé, and S. Semmes, "Opérateurs de Calderön-Zygmund, fonctions para-accrétives et interpolation", Rev. Mat. Iberoamericana 4 (1985), 1-56.
    • (1985) Rev. Mat. Iberoamericana , vol.4 , pp. 1-56
    • David, G.1    Journé, J.L.2    Semmes, S.3
  • 21
    • 1842715119 scopus 로고    scopus 로고
    • Cauchy integral and Calderön-Zygmund operators on non homogeneous spaces
    • F. Nazarov, S. Treil, and A. Volberg, "Cauchy integral and Calderön-Zygmund operators on non homogeneous spaces", Internat. Math. Res. Notice. 15 (1997), 703-726.
    • (1997) Internat. Math. Res. Notice , vol.15 , pp. 703-726
    • Nazarov, F.1    Treil, S.2    Volberg, A.3
  • 22
    • 0000451559 scopus 로고    scopus 로고
    • On the T(1)-theorem for the Cauchy integral
    • J. Verdera, "On the T(1)-Theorem for the Cauchy Integral", Ark. Mat. 38 (2000), 183-199.
    • (2000) Ark. Mat. , vol.38 , pp. 183-199
    • Verdera, J.1
  • 23
    • 1842679279 scopus 로고    scopus 로고
    • Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on non homogeneous spaces
    • F. Nazarov, S. Treil, and A. Volberg, "Weak type estimates and Cotlar inequalities for Calderón-Zygmund operators on non homogeneous spaces", Internat. Math. Res. Notices 9 (1998), 463-487.
    • (1998) Internat. Math. Res. Notices , vol.9 , pp. 463-487
    • Nazarov, F.1    Treil, S.2    Volberg, A.3
  • 24
    • 0007173139 scopus 로고
    • An extremal problem on singular integrals
    • N. X. Uy, "An extremal problem on singular integrals", Amer. J. Math. 102 (1980), 279-290.
    • (1980) Amer. J. Math. , vol.102 , pp. 279-290
    • Uy, N.X.1
  • 25
    • 0001487578 scopus 로고
    • A weak type inequality for Cauchy transforms of finite measures
    • J. Verdera, "A weak type inequality for Cauchy transforms of finite measures", Publ. Mat. 36 (1992), 1029-1034.
    • (1992) Publ. Mat. , vol.36 , pp. 1029-1034
    • Verdera, J.1
  • 26
    • 0001639167 scopus 로고
    • Removability, capacity and approximation
    • NATO ASI Series, Kluwer Academic Publ., Dordrecht
    • J. Verdera, "Removability, capacity and approximation", Complex potential theory, NATO ASI Series, Kluwer Academic Publ., Dordrecht 1994, pp. 419-473.
    • (1994) Complex Potential Theory , pp. 419-473
    • Verdera, J.1
  • 27
    • 0007240627 scopus 로고
    • Approximation in the mean by solutions of elliptic equations
    • T. Bagby, "Approximation in the mean by solutions of elliptic equations", Trans. Amer. Math. Soc. 281 (1984), 761-784.
    • (1984) Trans. Amer. Math. Soc. , vol.281 , pp. 761-784
    • Bagby, T.1
  • 29
    • 85164633925 scopus 로고
    • Nauka, Moscow English transl. of 1st. ed., Dekker, New York 1971
    • V. S. Vladimirov, Equations of mathematical physics, Nauka, Moscow 1971; English transl. of 1st. ed., Dekker, New York 1971.
    • (1971) Equations of Mathematical Physics
    • Vladimirov, V.S.1
  • 30
    • 0001172701 scopus 로고
    • Analytic capacity: Discrete approach and the curvature of measure
    • M. S. Mel'nikov, "Analytic capacity: discrete approach and the curvature of measure", Mat. Sb. 186:6 (1995), 57-76; English transl. in Sb. Math. 186 (1995).
    • (1995) Mat. Sb. , vol.186 , Issue.6 , pp. 57-76
    • Mel'nikov, M.S.1
  • 31
    • 85164639920 scopus 로고
    • English transl.
    • M. S. Mel'nikov, "Analytic capacity: discrete approach and the curvature of measure", Mat. Sb. 186:6 (1995), 57-76; English transl. in Sb. Math. 186 (1995).
    • (1995) Sb. Math. , vol.186


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