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Multiplication Operators Between Iterated Logarithmic Lipschitz Spaces of a Tree

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Abstract

In this article, we characterize the bounded and the compact multiplication operators between distinct iterated logarithmic Lipschitz spaces, and between the Lipschitz space and an iterated logarithmic Lipschitz space of an infinite tree. In addition, we provide operator norm estimates and show that there are no isometries among such operators.

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References

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Wisconsin-La Crosse, La Crosse, WI, 54601, USA

    Robert F. Allen

  2. Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA

    Flavia Colonna

  3. Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA

    Andrew Prudhom

Authors
  1. Robert F. Allen
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  2. Flavia Colonna
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  3. Andrew Prudhom
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Corresponding author

Correspondence to Flavia Colonna.

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In memory of Maurice Heins

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Allen, R.F., Colonna, F. & Prudhom, A. Multiplication Operators Between Iterated Logarithmic Lipschitz Spaces of a Tree. Mediterr. J. Math. 14, 212 (2017). https://doi.org/10.1007/s00009-017-1013-8

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  • DOI: https://doi.org/10.1007/s00009-017-1013-8

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