Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ZERO SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENT OF THE DIRICHLET SPACE

  • Young Joo, Lee (Department of Mathematics Chonnam National University)
  • Received : 2022.01.13
  • Accepted : 2022.06.08
  • Published : 2023.01.31
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Abstract

We consider dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space on the unit disk. We give a characterization of when a finite sum of products of two dual Toeplitz operators is equal to 0. Our result extends several known results by using a unified way.

Keywords

Acknowledgement

The author would like to thank the referee for the helpful comments and suggestions.

References

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