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On the growth of subharmonic functions along paths

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References

  1. Dahlberg, B., Approximation of harmonic functions,Ann. Inst. Fourier (Grenoble),30 (1980), 97–107.

    MATH  MathSciNet  Google Scholar 

  2. Davis, B. andLewis, J., Paths for subharmonic functions, to appear.

  3. Duren, P. Theory of H p Spaces, Academic Press, 1970.

  4. Hayman, W., On the characteristic of functions meromorphic in the unit disk and their integrals,Acta Math. 112 (1964), 181–214.

    Article  MATH  MathSciNet  Google Scholar 

  5. Hayman, W.,Research Problems in Function Theory, Athlone Press, 1967.

  6. Helms, L.,Introduction to Potential Theory, wiley-Interscience, 1969.

  7. Huber, A., On subharmonic functions and differential geometry in the large,Comment. Math. Helv. 32 (1957), 13–72.

    Article  MATH  MathSciNet  Google Scholar 

  8. Lyons, T., Finely holomorphic functions,J. Funct. Anal. 37 (1980), 1–18.

    Article  MATH  MathSciNet  Google Scholar 

  9. Pommerenke, Ch.,Univalent Functions, Vandenhoeck and Ruprecht, 1975.

  10. Talpur, M., On the growth of subharmonic functions on asymptotic paths,Proc. London Math. Soc. 32 (1976), 194–198.

    Google Scholar 

  11. Talpur, M., A subharmonic analogue of Iverson's theorem,Proc. London Math. Soc. 31 (1975), 129–148.

    Article  MATH  MathSciNet  Google Scholar 

  12. Zhang Guanghou Asymptotic values of entire and meromorphic functions,Sci. Sinica 20 (1977), 720–739.

    MATH  MathSciNet  Google Scholar 

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Research carried out at Purdue University while serving as visiting assistant professor. The author gratefully acknowledges the hospitality and support extended him by the Department of Mathematics.

Research supported by a National Science Foundation grant.

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Lewis, J., Rossi, J. & Weitsman, A. On the growth of subharmonic functions along paths. Ark. Mat. 22, 109–119 (1984). https://doi.org/10.1007/BF02384375

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  • DOI: https://doi.org/10.1007/BF02384375

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