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On the behavior of holomorphic functions near maximum modulus sets

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References

  1. Ahern, P.: On the behavior near a torus of functions holomorphic in the ball. Pac. J. Math.107, 267–278 (1983)

    Google Scholar 

  2. Ahern, P., Rudin, W.: Bloch functions, BMO, and boundary zeros. Preprint

  3. Duchamp, T., Stout, E.L.: Maximum modulus sets. Ann. Inst. Fourier (Grenoble)31, 37–69 (1981)

    Google Scholar 

  4. Nagel, A., Rudin, W.: Local boundary behavior of bounded holomorphic functions. Can. J. Math.30, 583–592 (1978)

    Google Scholar 

  5. Ramey, W.C., Russo, P.: Behavior of functions in BMOA and VMOA near a (2n−2)-dimensional submanifold. Indiana Univ. Math. J. (to appear)

  6. Rudin, W.: Function theory in the unit ball of ℂn. New York: Springer 1980

    Google Scholar 

  7. Rudin, W.: New Constructions of functions holomorphic in the unit ball of ℂn. CBMS Regional Conference Series in Mathematics. Amer. Math. Soc.63 (to appear)

  8. Russo, P.: Boundary behavior of BMOA (B n). Trans. Am. Math. Soc.292, 733–740 (1985)

    Google Scholar 

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  1. Department of Mathematics, Michigan State University, 48824, East Lansing, MI, USA

    Wade C. Ramey

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  1. Wade C. Ramey
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The author was supported in part by the National Science Foundation, USA

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Ramey, W.C. On the behavior of holomorphic functions near maximum modulus sets. Math. Ann. 276, 137–144 (1986). https://doi.org/10.1007/BF01450930

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