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On Derivatives of Multipliers of Fractional Cauchy Transforms

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Recent Developments in Complex Analysis and Computer Algebra

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 4))

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Abstract

In this paper we examine the pointwise growth of derivatives of multipliers of fractional Cauchy transforms. Additionally we prove some little oh results for the growth of the maximum modulus and integral means of such functions.

This paper was completed while the first author was on a sabbatical leave from University of Delaware.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, Delaware, 19716, USA

    D. J. Hallenbeck

  2. Instytut Matematyki, Politechnika Wroclawska, Wybrzeże St. Wyspiańskiego 27, 50-370, Wrocław, Poland

    K. Samotij

Authors
  1. D. J. Hallenbeck
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  2. K. Samotij
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Editor information

Editors and Affiliations

  1. University of Delaware, Newark, Delaware, USA

    Robert P. Gilbert

  2. Kyushu University, Fukuoka, Japan

    Joji Kajiwara

  3. University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA

    Yongzhi S. Xu

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© 1999 Kluwer Academic Publishers

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Hallenbeck, D.J., Samotij, K. (1999). On Derivatives of Multipliers of Fractional Cauchy Transforms. In: Gilbert, R.P., Kajiwara, J., Xu, Y.S. (eds) Recent Developments in Complex Analysis and Computer Algebra. International Society for Analysis, Applications and Computation, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0297-1_9

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  • DOI: https://doi.org/10.1007/978-1-4613-0297-1_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-5999-9

  • Online ISBN: 978-1-4613-0297-1

  • eBook Packages: Springer Book Archive

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