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Volumn 189, Issue 7-8, 1998, Pages 1179-1203

Lipschitz continuations of linearly bounded functions

(1)  Mil'man, V A a  

a NONE

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EID: 0032220871     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm1998v189n08abeh000340     Document Type: Article
Times cited : (3)

References (30)
  • 2
    • 84923279813 scopus 로고
    • Extension of range of functions
    • E. McShane, "Extension of range of functions", Bull. Amer. Math. Soc. 40 (1934), 837-842.
    • (1934) Bull. Amer. Math. Soc. , vol.40 , pp. 837-842
    • McShane, E.1
  • 3
    • 0001607383 scopus 로고
    • Extension of functions satisfying a Lipschitz condition
    • J. Czipcer and L. Geher, "Extension of functions satisfying a Lipschitz condition", Acta Math. Hungar. 6:1-2 (1955), 213-220.
    • (1955) Acta Math. Hungar. , vol.6 , Issue.1-2 , pp. 213-220
    • Czipcer, J.1    Geher, L.2
  • 4
    • 0010102644 scopus 로고
    • Traces of functions with majorizable derivatives
    • G. A. Kalyabin, "Traces of functions with majorizable derivatives", Mat. Zametki 18 (1975), 499-506; English transl. in Math. Notes 18 (1975).
    • (1975) Mat. Zametki , vol.18 , pp. 499-506
    • Kalyabin, G.A.1
  • 5
    • 85164653543 scopus 로고
    • English transl.
    • G. A. Kalyabin, "Traces of functions with majorizable derivatives", Mat. Zametki 18 (1975), 499-506; English transl. in Math. Notes 18 (1975).
    • (1975) Math. Notes , vol.18
  • 6
    • 85164648536 scopus 로고
    • Maximum Lipschitz functions connected with the problem of optimal mass transport
    • Russian
    • Yu. N. Vladimirov, "Maximum Lipschitz functions connected with the problem of optimal mass transport", Optimizatsiya 44 (1988), 96-113. (Russian)
    • (1988) Optimizatsiya , vol.44 , pp. 96-113
    • Vladimirov, Yu.N.1
  • 7
    • 84968502318 scopus 로고
    • The structure of ideals and point derivations in Banach algebras of Lipschitz functions
    • D. Sherbert, "The structure of ideals and point derivations in Banach algebras of Lipschitz functions", Trans. Amer. Math. Soc. 111 (1964), 240-272.
    • (1964) Trans. Amer. Math. Soc. , vol.111 , pp. 240-272
    • Sherbert, D.1
  • 8
    • 0001961925 scopus 로고
    • Traces of functions with space-like graphs and the extension problem under restrictions of the gradient
    • A. A. Klyachin and V. M. Miklyukov, "Traces of functions with space-like graphs and the extension problem under restrictions of the gradient", Mat. Sb. 183:7 (1992), 49-64; English transl. in Russian Acad. Sci. Sb. Math. 76 (1993).
    • (1992) Mat. Sb. , vol.183 , Issue.7 , pp. 49-64
    • Klyachin, A.A.1    Miklyukov, V.M.2
  • 9
    • 85164651184 scopus 로고
    • English transl.
    • A. A. Klyachin and V. M. Miklyukov, "Traces of functions with space-like graphs and the extension problem under restrictions of the gradient", Mat. Sb. 183:7 (1992), 49-64; English transl. in Russian Acad. Sci. Sb. Math. 76 (1993).
    • (1993) Russian Acad. Sci. Sb. Math. , vol.76
  • 12
    • 85025801264 scopus 로고
    • Extension of Lipschitz functions
    • J.-B. Hiriart-Urruty, "Extension of Lipschitz functions", J. Math. Anal. Appl. 77 (1980), 539-555.
    • (1980) J. Math. Anal. Appl. , vol.77 , pp. 539-555
    • Hiriart-Urruty, J.-B.1
  • 13
    • 0000984295 scopus 로고
    • Kantorovich-Rubinshtein norm and its application in the theory of Lipschitz spaces
    • L.G. Hanin, "Kantorovich-Rubinshtein norm and its application in the theory of Lipschitz spaces", Proc. Amer. Math. Soc. 115 (1992), 345-352.
    • (1992) Proc. Amer. Math. Soc. , vol.115 , pp. 345-352
    • Hanin, L.G.1
  • 14
    • 0009340521 scopus 로고
    • Extension of Hölder functions and some related problems of best approximation
    • Preprint, Babes-Bolyai Univ.
    • C. Mustata, "Extension of Hölder functions and some related problems of best approximation", Preprint, Babes-Bolyai Univ., Fac. Math. Phys., Res. Semin., 1991, pp. 71-86.
    • (1991) Fac. Math. Phys., Res. Semin. , pp. 71-86
    • Mustata, C.1
  • 15
    • 0010196411 scopus 로고
    • The relationship between Lipschitz extensions, best approximations, and continuous selections
    • S. Mabizela, "The relationship between Lipschitz extensions, best approximations, and continuous selections", Quaestiones Math. 14 (1991), 261-268.
    • (1991) Quaestiones Math. , vol.14 , pp. 261-268
    • Mabizela, S.1
  • 16
    • 0030195050 scopus 로고    scopus 로고
    • Generation of shading-off in images by extrapolation of Lipschitz functions
    • P. Moreau and C. Ronse, "Generation of shading-off in images by extrapolation of Lipschitz functions", Graphical Models and Image Processing 58 (1996), 314-333.
    • (1996) Graphical Models and Image Processing , vol.58 , pp. 314-333
    • Moreau, P.1    Ronse, C.2
  • 17
    • 0030541752 scopus 로고    scopus 로고
    • Stability and convergence of extension schemes to continuous functions in general metric spaces
    • E. Le Gruyer and J. C. Archer, "Stability and convergence of extension schemes to continuous functions in general metric spaces", SIAM J. Math. Anal. 27:1 (1996), 274-285.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.1 , pp. 274-285
    • Le Gruyer, E.1    Archer, J.C.2
  • 18
    • 85164639723 scopus 로고    scopus 로고
    • Continuation of functions preserving the modulus of continuity
    • Russian
    • V. A. Mil'man, "Continuation of functions preserving the modulus of continuity", Vestsi Akad. Nauk Belarusi Ser. Fiz.-Mat. 1996:4, 23-28. (Russian)
    • (1996) Vestsi Akad. Nauk Belarusi Ser. Fiz.-Mat. , vol.4 , pp. 23-28
    • Mil'man, V.A.1
  • 19
    • 0000955028 scopus 로고    scopus 로고
    • Continuation of functions preserving the modulus of continuity
    • V. A. Mil'man, "Continuation of functions preserving the modulus of continuity", Mat. Zametki 61:2 (1997), 236-245; English transl. in Math. Notes 61 (1997).
    • (1997) Mat. Zametki , vol.61 , Issue.2 , pp. 236-245
    • Mil'man, V.A.1
  • 20
    • 85164653552 scopus 로고    scopus 로고
    • English transl.
    • V. A. Mil'man, "Continuation of functions preserving the modulus of continuity", Mat. Zametki 61:2 (1997), 236-245; English transl. in Math. Notes 61 (1997).
    • (1997) Math. Notes , vol.61
  • 21
    • 0003558520 scopus 로고
    • Eléments de mathématique. I: Les structures fondamentales d'analyse
    • Hermann, Paris
    • N. Bourbaki, Eléments de mathématique. I: Les structures fondamentales d'analyse. Livre IV: Fonctions d'une variable réelle, Hermann, Paris 1958.
    • (1958) Livre IV: Fonctions D'une Variable Réelle
    • Bourbaki, N.1
  • 23
    • 0003744099 scopus 로고
    • English transl., Providence, RI
    • S. G. Kreǐn, Yu. I. Petunin, and E. M. Semënov, Interpolation of linear operators, Nauka, Moscow 1978; English transl., Amer. Math. Soc., Providence, RI 1982.
    • (1982) Amer. Math. Soc.
  • 25
    • 85164646208 scopus 로고
    • English transl., New York
    • A. F. Timan, Theory of approximations of functions of a single variable, Fizmatgiz, Moscow 1960; English transl., Pergamon Press and Macmillan, New York 1963.
    • (1963) Pergamon Press and Macmillan
  • 26
    • 0001006826 scopus 로고
    • Spacelike hypersurfaces with prescribed boundary values and mean curvature
    • R. Bartnik and L. Simon, "Spacelike hypersurfaces with prescribed boundary values and mean curvature", Comm. Math. Phys. 87:1 (1982), 131-152.
    • (1982) Comm. Math. Phys. , vol.87 , Issue.1 , pp. 131-152
    • Bartnik, R.1    Simon, L.2
  • 27
    • 85164653162 scopus 로고
    • A mean value theorem in metric spaces
    • Publ. House Bulgarian Acad. Sci., Sofia
    • B. Sleźak, "A mean value theorem in metric spaces", Constructive theory of functions, Publ. House Bulgarian Acad. Sci., Sofia 1988, pp. 47-49.
    • (1988) Constructive Theory of Functions , pp. 47-49
    • Sleźak, B.1
  • 28
    • 0010196412 scopus 로고
    • Solvability of the Dirichlet problem for the maximal surface equation with singularities in unbounded domains
    • A. A. Klyachin, "Solvability of the Dirichlet problem for the maximal surface equation with singularities in unbounded domains", Dokl. Akad. Nauk 342 (1995), 162-164; English transl. in Russian Acad. Sci. Dokl. Math. 51 (1995).
    • (1995) Dokl. Akad. Nauk , vol.342 , pp. 162-164
    • Klyachin, A.A.1
  • 29
    • 85164656923 scopus 로고
    • English transl.
    • A. A. Klyachin, "Solvability of the Dirichlet problem for the maximal surface equation with singularities in unbounded domains", Dokl. Akad. Nauk 342 (1995), 162-164; English transl. in Russian Acad. Sci. Dokl. Math. 51 (1995).
    • (1995) Russian Acad. Sci. Dokl. Math. , vol.51
  • 30
    • 0000627717 scopus 로고
    • Amenability and weak amenability for Beurling and Lipschitz algebras
    • W. G. Bade, P. C. Curtis, and H. G. Dales, "Amenability and weak amenability for Beurling and Lipschitz algebras", Proc. London Math. Soc. (3) 55 (1987), 359-377.
    • (1987) Proc. London Math. Soc. , vol.55 , Issue.3 , pp. 359-377
    • Bade, W.G.1    Curtis, P.C.2    Dales, H.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.