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Difference of Composition Operators from the Space of Cauchy Integral Transforms to the Dirichlet Space

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Abstract

We characterize boundedness and compactness of difference of composition operators from the space of Cauchy integral transforms to the Dirichlet space.

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Acknowledgments

R. Krishan is thankful to DST (India) for Inspire fellowship: DST/Inspire fellowship/2013/281.

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Authors and Affiliations

  1. School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra, 182320, J&K, India

    Ajay K. Sharma & Ram Krishan

Authors
  1. Ajay K. Sharma
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  2. Ram Krishan
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Correspondence to Ajay K. Sharma.

Additional information

Communicated by Sanne ter Horst, Dmitry S. Kaliuzhnyi-Verbovetskyi and Izchak Lewkowicz.

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Sharma, A.K., Krishan, R. Difference of Composition Operators from the Space of Cauchy Integral Transforms to the Dirichlet Space. Complex Anal. Oper. Theory 10, 141–152 (2016). https://doi.org/10.1007/s11785-015-0487-2

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  • DOI: https://doi.org/10.1007/s11785-015-0487-2

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