In this article, we study the commuting problem of Toeplitz operators acting on the Bergman space of the unit disk when one of the symbols is biharmonic. Particularly, we prove… Click to show full abstract
In this article, we study the commuting problem of Toeplitz operators acting on the Bergman space of the unit disk when one of the symbols is biharmonic. Particularly, we prove that if a Toeplitz operator with right-terminating bounded symbol commutes with a biharmonic symbol, of special form, then it must be a linear combination of the latter one and the constant function.
Keywords:
operators biharmonic;
biharmonic symbols;
toeplitz operators;
toeplitz
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
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Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
Link to full text (if available)
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recommendations!