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Volumn 355, Issue 7, 2003, Pages 2829-2855

Composition operators acting on holomorphic Sobolev spaces

Author keywords

Bergman space; Composition operator; Fractional derivative

Indexed keywords


EID: 0037790976     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-03-03273-2     Document Type: Article
Times cited : (13)

References (19)
  • 1
    • 0010530649 scopus 로고
    • Holomorphic Sobolev spaces on the ball
    • [BB]. MR 90k:32010
    • [BB] F. Beatrous and J. Burbea, Holomorphic Sobolev spaces on the ball, Dissertationes Mathematicae, CCLXXVI (1989), 1-57. MR 90k:32010
    • (1989) Dissertationes Mathematicae , vol.276 , pp. 1-57
    • Beatrous, F.1    Burbea, J.2
  • 3
    • 0003303950 scopus 로고
    • P spaces
    • [D], Academic Press, New York. MR 42:3552
    • P spaces, Pure and Appl. Math., Vol. 38, Academic Press, New York, 1970. MR 42:3552
    • (1970) Pure and Appl. Math. , vol.38
    • Duren, P.1
  • 4
    • 0002872733 scopus 로고
    • Bounded analytic functions
    • [G]. Academic Press, New York. MR 83g:30037
    • [G] J. Garnett, Bounded analytic functions. Pure and Appl. Math., vol. 96, Academic Press, New York, 1981. MR 83g:30037
    • (1981) Pure and Appl. Math. , vol.96
    • Garnett, J.1
  • 5
    • 21844522896 scopus 로고
    • Density properties of harmonic measure
    • [JM]. MR 96k:30027
    • [JM] P. Jones and N. Makarov, Density properties of harmonic measure, Annals of Mathemathics, 142 (1995), 427-455. MR 96k:30027
    • (1995) Annals of Mathemathics , vol.142 , pp. 427-455
    • Jones, P.1    Makarov, N.2
  • 6
    • 0003355343 scopus 로고    scopus 로고
    • Theory of Bergman spaces
    • [HKZ], Springer, New York. MR 2001c:46043
    • [HKZ] H. Hedenmalm, B. Korenblum and K. Zhu, Theory of Bergman spaces, Graduate Texts in Math., vol. 199, Springer, New York, 2000. MR 2001c:46043
    • (2000) Graduate Texts in Math. , vol.199
    • Hedenmalm, H.1    Korenblum, B.2    Zhu, K.3
  • 7
    • 0002759422 scopus 로고
    • Forward and Reverse Carleson inequalities for functions in Bergman spaces and their derivatives
    • [L1] MR 86g:30002
    • [L1] D. Luecking, Forward and Reverse Carleson inequalities for functions in Bergman spaces and their derivatives, Amer. J. Math., 107 (1985), 85-111. MR 86g:30002
    • (1985) Amer. J. Math. , vol.107 , pp. 85-111
    • Luecking, D.1
  • 8
    • 84974097542 scopus 로고
    • Multipliers of Bergman spaces into Lebesgue spaces
    • [L2] MR 87e:46034
    • [L2] D. Luecking, Multipliers of Bergman spaces into Lebesgue spaces. Proc. Edinburgh Math. Soc., 29 (1986), 125-131. MR 87e:46034
    • (1986) Proc. Edinburgh Math. Soc. , vol.29 , pp. 125-131
    • Luecking, D.1
  • 9
    • 0001565113 scopus 로고
    • Angular derivatives and compact composition operators on the Hardy and Bergman spaces
    • [MS] MR 87h:47048 878-906
    • [MS] B. MacCluer and J. H. Shaprio, Angular derivatives and compact composition operators on the Hardy and Bergman spaces, Canad. J. Math., XXXVIII(4) (1986), MR 87h:47048 878-906.
    • (1986) Canad. J. Math. , vol.38 , Issue.4
    • Maccluer, B.1    Shaprio, J.H.2
  • 10
    • 84966214304 scopus 로고
    • Composition operators on analytic Lipschitz spaces
    • [Ma] MR 93k:47043
    • [Ma] K. Madigan, Composition operators on analytic Lipschitz spaces, Proc. Amer. Math. Soc., 119 (1993), 465-473. MR 93k:47043
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 465-473
    • Madigan, K.1
  • 11
    • 84971690149 scopus 로고
    • A property of analytic functions with Hadamard gaps
    • [Mi] MR 93c:30060
    • [Mi] J. Miao, A property of analytic functions with Hadamard gaps, Bull. Austral. Math. Soc., 45 (1992), 105-112. MR 93c:30060
    • (1992) Bull. Austral. Math. Soc. , vol.45 , pp. 105-112
    • Miao, J.1
  • 12
    • 0003282273 scopus 로고
    • Boundary behavior of conformal maps
    • [P] Springer-Verlag, Berlin, Heidelberg, New York. MR 95b:30008
    • [P] Ch. Pommerenke, Boundary behavior of conformal maps, Grundlehren der Mathematishen Wissenschaften, vol. 299, Springer-Verlag, Berlin, Heidelberg, New York, 1992. MR 95b:30008
    • (1992) Grundlehren der Mathematishen Wissenschaften , vol.299
    • Pommerenke, Ch.1
  • 14
    • 0004116414 scopus 로고
    • [R2] McGraw-Hill, New York. MR 88k:00002
    • [R2] W. Rudin, Real and complex analysis, McGraw-Hill, New York, 1987. MR 88k:00002
    • (1987) Real and Complex Analysis
    • Rudin, W.1
  • 15
    • 84968470107 scopus 로고
    • Compact composition operators on spaces of boundary-regular holomorphic functions
    • [Sh] MR 88c:47059
    • [Sh] J.H. Shapiro, Compact composition operators on spaces of boundary-regular holomorphic functions, Proc. Amer. Math. Soc., 100(1) (1987), 49-57. MR 88c:47059
    • (1987) Proc. Amer. Math. Soc. , vol.100 , Issue.1 , pp. 49-57
    • Shapiro, J.H.1
  • 16
    • 21344440457 scopus 로고    scopus 로고
    • Composition operators between Bergman and Hardy spaces
    • [Sm1] MR 96i:47056
    • [Sm1] W. Smith, Composition operators between Bergman and Hardy spaces, Trans. Amer. Math. Soc., 348(6) (1996), 2331-2348. MR 96i:47056
    • (1996) Trans. Amer. Math. Soc. , vol.348 , Issue.6 , pp. 2331-2348
    • Smith, W.1
  • 17
    • 22844455983 scopus 로고    scopus 로고
    • Compactness of composition operators on BMOA
    • [Sm2] MR 99m:47040
    • [Sm2] W. Smith, Compactness of composition operators on BMOA, Proc. Amer. Math. Soc., 127(9) (1999), 2715-2725. MR 99m:47040
    • (1999) Proc. Amer. Math. Soc. , vol.127 , Issue.9 , pp. 2715-2725
    • Smith, W.1
  • 18
    • 21944443338 scopus 로고    scopus 로고
    • Composition operators that improve integrability on weighted Bergman spaces
    • [SY] MR 98d:47070
    • [SY] W. Smith and L. Yang, Composition operators that improve integrability on weighted Bergman spaces, Proc. Amer. Math. Soc., 126(2) (1998), 411-420. MR 98d:47070
    • (1998) Proc. Amer. Math. Soc. , vol.126 , Issue.2 , pp. 411-420
    • Smith, W.1    Yang, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.