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If φ is a bounded separately radial function on the unit ball, the Toeplitz operator Tφ is diagonalizable with respect to the standard orthogonal basis of monomials on the Bergman… Click to show full abstract
If φ is a bounded separately radial function on the unit ball, the Toeplitz operator Tφ is diagonalizable with respect to the standard orthogonal basis of monomials on the Bergman space. Given such a φ, we characterize bounded functions ψ for which Tψ commutes with Tφ. Several examples are given to illustrate our results.
Keywords:
toeplitz;
commutants separately;
radial toeplitz;
toeplitz operators;
operators several;
separately radial
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!