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Volumn 5, Issue 1, 1996, Pages 23-30

Some remarks on Rademacher's theorem in infinite dimensions

Author keywords

Differentiability directions; Quasiinvariance; Rademacher

Indexed keywords


EID: 21844492790     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00276694     Document Type: Article
Times cited : (18)

References (14)
  • 1
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    • Aronszajn, N.1
  • 2
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    • Negligible Sets and Differentiable Measures
    • Bogachev, V. I.: 'Negligible Sets and Differentiable Measures', Moscow Univ. Math. Bull. 37:2 (1982), 54-59.
    • (1982) Moscow Univ. Math. Bull. , vol.37 , Issue.2 , pp. 54-59
    • Bogachev, V.I.1
  • 3
    • 0040415297 scopus 로고
    • Negligible Sets in Locally Convex Spaces
    • Bogachev, V. I.: 'Negligible Sets in Locally Convex Spaces', Math. Notes 36 (1984), 519-526.
    • (1984) Math. Notes , vol.36 , pp. 519-526
    • Bogachev, V.I.1
  • 4
    • 0346836189 scopus 로고
    • On Differential and Lipschitz Mappings of Banach Spaces
    • Bogachev, V. I. and Shkarin, S. A.: 'On Differential and Lipschitz Mappings of Banach Spaces', Math. Notes 44 (1988), 567-583.
    • (1988) Math. Notes , vol.44 , pp. 567-583
    • Bogachev, V.I.1    Shkarin, S.A.2
  • 5
    • 84956257592 scopus 로고
    • Analytic Properties of Infinite Dimensional Distributions
    • Bogachev, V. I. and Smolyanov, O. G.: 'Analytic Properties of Infinite Dimensional Distributions', Russian Math. Surveys 45 (1990), n3, 1-104.
    • (1990) Russian Math. Surveys , vol.45 , pp. 1-104
    • Bogachev, V.I.1    Smolyanov, O.G.2
  • 6
    • 0009233806 scopus 로고    scopus 로고
    • Measure Theoretic Zero Sets in Infinitely Dimensional Spaces and Application to Differentiability of Lipschitz Mappings
    • Christensen, J.-P.-R.: 'Measure Theoretic Zero Sets in Infinitely Dimensional Spaces and Application to Differentiability of Lipschitz Mappings', in Actes du Deuxieme Colloque d'Analyse Fonctionele de Bordeux, 1973, Vol. 2, 29-39.
    • Actes du Deuxieme Colloque D'Analyse Fonctionele de Bordeux, 1973 , vol.2 , pp. 29-39
    • Christensen, J.-P.-R.1
  • 7
    • 0038609738 scopus 로고
    • Rademacher's Theorem for Wiener Functionals
    • Enchev, O. and Stroock, D.: 'Rademacher's Theorem for Wiener Functionals', Ann. Probab. 21 (1993), n1, 25-33.
    • (1993) Ann. Probab. , vol.21 , pp. 25-33
    • Enchev, O.1    Stroock, D.2
  • 8
    • 0000469941 scopus 로고
    • The Nonlinear Transformation of Gaussian Measure on Banach Space and Its Absolute Continuity I
    • Kusuoka, S.: 'The Nonlinear Transformation of Gaussian Measure on Banach Space and Its Absolute Continuity I', J. Fac. Sci. Univ. Tokyo, Sec. 1A 29 (1982), n3, 567-598.
    • (1982) J. Fac. Sci. Univ. Tokyo, Sec. 1A , vol.29 , Issue.3 , pp. 567-598
    • Kusuoka, S.1
  • 9
    • 0002604816 scopus 로고
    • On the Differentiability of Lipschitz Maps on Fréchet Spaces
    • Mankiewicz, P.: 'On the Differentiability of Lipschitz Maps on Fréchet Spaces', Studio Math. 45 (1973), 15-29.
    • (1973) Studio Math. , vol.45 , pp. 15-29
    • Mankiewicz, P.1
  • 10
    • 84972535709 scopus 로고
    • Gaussian Null Sets and Differentiability of Lipschitz Maps on Banach Spaces
    • Phelps, R.: 'Gaussian Null Sets and Differentiability of Lipschitz Maps on Banach Spaces', Pacif. J. Math. 77 (1978), 523-531.
    • (1978) Pacif. J. Math. , vol.77 , pp. 523-531
    • Phelps, R.1
  • 11
    • 0000107568 scopus 로고
    • Differentiability of Lipschitz Functions on Banach Spaces
    • Preiss, D.: 'Differentiability of Lipschitz Functions on Banach Spaces', J Funct. Anal. 91 (1990), 312-345.
    • (1990) J Funct. Anal. , vol.91 , pp. 312-345
    • Preiss, D.1
  • 12
    • 0003176679 scopus 로고
    • Uber partielle und totale Differenzierbarkeit I
    • Rademacher, H.: 'Uber partielle und totale Differenzierbarkeit I', Mat. Ann. 79 (1919), 340-359.
    • (1919) Mat. Ann. , vol.79 , pp. 340-359
    • Rademacher, H.1
  • 13
    • 0003250388 scopus 로고
    • On a Characterization of the Sobolev Spaces over an Abstract Wiener Space
    • Sugita, H.: 'On a Characterization of the Sobolev Spaces over an Abstract Wiener Space', J. Math. Kyoto Univ. 25 (1985), n4, 717-725.
    • (1985) J. Math. Kyoto Univ. , vol.25 , pp. 717-725
    • Sugita, H.1
  • 14
    • 27144479492 scopus 로고
    • Integrabilité exponentielle de fonctionnelles de Wiener
    • Ustunel, A. S.: 'Integrabilité exponentielle de fonctionnelles de Wiener', C.R. Acad. Sci. Paris 315 (1992), 997-1000.
    • (1992) C.R. Acad. Sci. Paris , vol.315 , pp. 997-1000
    • Ustunel, A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.