A Banach Algebra Structure on the q-Bergman Space and Related Topics
DOI: 10.4064/cm9168- 12-2023
We show that the q-Bergman space with the Duhamel product has a
Banach algebra structure and describe its nontrivial closed ideals. Moreover, we discuss
Katznelson–Tzafriri type theorems in the q-Bergman space. We also give applications to
the Volterra integral operator on this space and to some integral equations.
We show that the q-Bergman space with the Duhamel product has a
Banach algebra structure and describe its nontrivial closed ideals. Moreover, we discuss
Katznelson–Tzafriri type…
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