Product equivalence of quasihomogeneous Toeplitz operators on the harmonic Bergman space
Xing-Tang Dong, Ze‐Hua Zhou
Abstract
Open-access reader
Xing-Tang Dong, Ze‐Hua Zhou
Abstract
Open-access reader
We present here a quite unexpected result: If the product of two quasihomogeneous Toeplitz operators $T_fT_g$ on the harmonic Bergman space is equal to a Toeplitz operator $T_h$, then the product $T_gT_f$ is also the Toeplitz operator $T_h$, and hence $T_
OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We present here a quite unexpected result: If the product of two quasihomogeneous Toeplitz operators $T_fT_g$ on the harmonic Bergman space is equal to a Toeplitz operator $T_h$, then the product $T_gT_f$ is also the Toeplitz operator $T_h$, and hence $T_
Key concepts: Toeplitz matrix, Mathematics, Bergman space, Toeplitz operator, Equivalence (formal languages), Pure mathematics, Product (mathematics), Harmonic