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Part of the book series: RSME Springer Series ((RSME,volume 2))

Abstract

In this chapter we introduce the spaces \(H^p_{a,\alpha }\) of analytic functions with exponential mean growth.

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References

  1. Dostanić, M.: Multipliers in the space of analytic functions with exponential mean growth. Asymptot. Anal. 65(3–4), 191–201 (2009)

    Google Scholar 

  2. Szegö, G.: Orthogonal Polynomials, vol. 23. American Mathematical Society, Colloquium Publications, Providence, RI (1939)

    MATH  Google Scholar 

  3. Seneta, E.: Regularly Varying Functions. Springer, Berlin (1976)

    Book  MATH  Google Scholar 

  4. Aleman, A., Siskakis, A.: Integration operators on Bergman spaces. Indiana Univ. Math. J. 46, 337–356 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dostanić, M.: Integration operators on Bergman spaces with exponential weights. Revista Mat. Iberoamericana 23, 421–436 (2007)

    Article  MATH  Google Scholar 

  6. Pau, J., Peláez, J.A.: Embedding theorems and integration operator on Bergman spaces with rapidly decreasing weights. J. Funct. Anal. 259, 2727–2756 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Shapiro, J.H., Shields, A.L.: Unusual topological properties of the Nevanlinna class. Am. J. Math. 97, 915–936 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  8. Nawrocki, M.: On the solid hull of the Nevanlinna and Smirnov classes. Ann. Acad. Sci. Fenn. Math. 39, 897–904 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  9. Shvedenko, S.V.: Rate of increase and Taylor coefficients of functions of the Nevanlinna class. Izvestiya VUZ Matematika 30, 40–43 (1986)

    MathSciNet  MATH  Google Scholar 

  10. Stoll, M.: Mean growth and Taylor coefficients of some topological algebras of holomorphic functions. Ann. Polonici Math. 35, 141–158 (1977)

    MathSciNet  Google Scholar 

  11. Jarchow, H., Montesinos, V., Wirths, K.J., Xiao, J.: Duality for some large spaces of analytic functions. Proc. Edinb. Math. Soc. 44, 571–583 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  12. Yanagihara, N.: Multipliers and linear functionals for the class \(N^{+}\). Trans. Am. Math. Soc. 180, 449–461 (1973)

    MathSciNet  MATH  Google Scholar 

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Correspondence to Miroljub Jevtić .

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Jevtić, M., Vukotić, D., Arsenović, M. (2016). Multipliers of Some Large Spaces of Analytic Functions. In: Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces. RSME Springer Series, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-45644-7_13

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