A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

In this paper we consider the sufficient condition for hyponormal Toeplitz operators T_𝛗 with non-harmonic symbols $${\varphi}(z)=\sum_{\ell=1}^{k}{\alpha}_{\ell}z^{{m_{\ell}}{\bar{z}}n_{\ell}}$$ with m_ℓ-n_ℓ = δ > 0 for all 1 ≤ ℓ ≤ k, and α_ℓ ∈ ℂ on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators T_𝛗 according to the positional relationship of the coefficients α_ℓ's.