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On the Bekollé–Bonami condition

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References

  1. Bekollé, D.: Projections sur des espaces de fonctions holomorphes dans des domaines plans. Canad. J. Math 38(1), 127–157 (1986)

    Google Scholar 

  2. Bekollé, D., Bonami, A.: Inégalités à poids pour le noyau de Bergman. C. R. Acad. Sci. Paris 286(18), 775–778 (1978)

    Google Scholar 

  3. Burbea, J.: The Bergman projection on weighted norm spaces. Canad. J. Math. 32(4), 979–986 (1980)

    MATH  Google Scholar 

  4. Cartan, H.: Sur les systèmes de fonctions holomorphes á variétés linéaires lacunaires et leurs applications. Ann. Sci. École Norm. Sup. 3(45), 255–346 (1928)

    MATH  Google Scholar 

  5. Coifman, R., Fefferman, C.: Weighted norm inequalities for maximal functions and singular integrals. Studia Math. 51, 241–250 (1974)

    MATH  Google Scholar 

  6. Coifman, R., Jones, P., Rubio de Francia, J.: Constructive decomposition of BMO functions and factorization of A p weights. Proc. Am. Math. Soc 87, 675–676 (1983)

    MathSciNet  MATH  Google Scholar 

  7. Garnett, J.B.: Bounded analytic functions. Academic Press, New York–London, 1981

  8. Gehring, F.W.: The L p-integrability of the partial derivatives for quasiconformal mapping. Acta Math. 130, 265–278 (1973)

    MATH  Google Scholar 

  9. Hayman, W.K.: Subharmonic functions. Vol. 2, Academic Press, 1989

  10. Hedenmalm, H.: The dual of a Bergman space on simply connected domains. J. d’Analyse Math. 88, 311–335 (2002)

    Google Scholar 

  11. Hunt, R., Muckenhoupt, B., Wheeden, R.: Weighted norm inequalities for conjugate function and the Hilbert transform. Trans. Am. Math. Soc 176, 227–251 (1973)

    MATH  Google Scholar 

  12. Jones, P.: Factorization of A p weights. Ann. Math. 111, 511–530 (1980)

    MathSciNet  MATH  Google Scholar 

  13. Muckenhoupt, B.: Weighted norm inequalities for the Hardy maximal functions. Trans. Am. Math. Soc. 165, 207–226 (1972)

    MATH  Google Scholar 

  14. Rubio de Francia, J.L.: Factorization and extrapolation of weights. Bull. Am. Math. Soc. 7, 393–395 (1982)

    MATH  Google Scholar 

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  1. Department of Mathematics, University of Bordeaux I, 351, cours de la Libération, 33405, Talence, France

    Alexander Borichev

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  1. Alexander Borichev
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Correspondence to Alexander Borichev.

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Mathematics Subject Classification (2000): 46E30, 46E15, 47B38

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Borichev, A. On the Bekollé–Bonami condition. Math. Ann. 328, 389–398 (2004). https://doi.org/10.1007/s00208-003-0488-8

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