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Volumn 326, Issue 3, 1998, Pages 347-352

Metric entropy of the integration operator and small ball probabilities for the Brownian sheet;Entropie métrique de l'opérateur d'intégration et probabilités de petites boules relatives au drap brownien

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Indexed keywords


EID: 0031996159     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)82993-X     Document Type: Article
Times cited : (14)

References (13)
  • 1
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    • Bass, R.F.1
  • 2
    • 0000474305 scopus 로고
    • Entropy numbers, s-numbers and eigenvalue problems
    • [2] Carl B., Entropy numbers, s-numbers and eigenvalue problems, J. Funct. Anal. 41 (1981) 290-306.
    • (1981) J. Funct. Anal. , vol.41 , pp. 290-306
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  • 3
    • 38249026918 scopus 로고
    • S-numbers of integral operators with Holder continuous kernels over metric compacta
    • [3] Carl B., Heinrich S., Kühn T., s-numbers of integral operators with Holder continuous kernels over metric compacta, J. Funct. Anal. 81 (1988) 54-73.
    • (1988) J. Funct. Anal. , vol.81 , pp. 54-73
    • Carl, B.1    Heinrich, S.2    Kühn, T.3
  • 5
    • 0001461506 scopus 로고
    • Metric entropy and the small ball problem for Gaussian measures
    • [5] Kuelbs J., Li W.V., Metric entropy and the small ball problem for Gaussian measures, J. Funct. Anal. 116 (1993) 133-157.
    • (1993) J. Funct. Anal. , vol.116 , pp. 133-157
    • Kuelbs, J.1    Li, W.V.2
  • 6
    • 0000639280 scopus 로고    scopus 로고
    • Isoperimetry and Gaussian analysis
    • Lectures on Probability Theory and Statistics, École de St-Flour 1994, 165-294
    • [6] Ledoux M., Isoperimetry and Gaussian analysis, in: Lectures on Probability Theory and Statistics, École de St-Flour 1994, 165-294, Lecture Notes in Math. 1648, 1996.
    • (1996) Lecture Notes in Math. , vol.1648
    • Ledoux, M.1
  • 8
    • 0000994356 scopus 로고
    • Subspaces of small codimension of finite dimensional banach spaces
    • [8] Pajor A., Tomczak-Jaegermann N., Subspaces of small codimension of finite dimensional Banach spaces, Proc. Amer. Math. Soc. 97 (1986) 637-642.
    • (1986) Proc. Amer. Math. Soc. , vol.97 , pp. 637-642
    • Pajor, A.1    Tomczak-Jaegermann, N.2
  • 10
    • 0010203053 scopus 로고
    • How small are the increments of a Wiener sheet
    • The 1st Pannonian Symp. on Math. Stat., Bad Tatzmannsdorf, 1979
    • [10] Révész P., How small are the increments of a Wiener sheet, in: The 1st Pannonian Symp. on Math. Stat., Bad Tatzmannsdorf, 1979, Lecture Notes in Statistics 8 (1981), 206-219.
    • (1981) Lecture Notes in Statistics , vol.8 , pp. 206-219
    • Révész, P.1
  • 11
    • 21844487711 scopus 로고
    • Small ball estimates of Gaussian fields
    • [11] Shao Q.M., Wang D., Small ball estimates of Gaussian fields, Probab. Theory Relat. Fields 102 (1995) 511-517.
    • (1995) Probab. Theory Relat. Fields , vol.102 , pp. 511-517
    • Shao, Q.M.1    Wang, D.2
  • 12
    • 0003022650 scopus 로고
    • An inequality for trigonometric polynomials and its application for estimating the entropy numbers
    • [12] Temlyakov V.N., An inequality for trigonometric polynomials and its application for estimating the entropy numbers, J. Complexity 11 (1995) 293-307.
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    • Temlyakov, V.N.1
  • 13
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    • The small ball problem for the Brownian sheet
    • [13] Talagrand M., The small ball problem for the Brownian sheet, Ann. Probab. 22 (1994) 1331-1354.
    • (1994) Ann. Probab. , vol.22 , pp. 1331-1354
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.