Journal of Inequalities and Applications (Mar 2023)

On Toeplitz operators between different Fock–Sobolev-type spaces

  • Jianjun Chen,
  • Guangxia Xu

DOI
https://doi.org/10.1186/s13660-023-02954-w
Journal volume & issue
Vol. 2023, no. 1
pp. 1 – 21

Abstract

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Abstract In this paper, we characterize those positive Borel measurable symbols μ on C n $\mathbb{C}^{n}$ that induce the Toeplitz operators T μ α $T^{\alpha}_{\mu}$ to be bounded or compact between different Fock–Sobolev–type spaces F α p $F^{p}_{\alpha}$ and F α ∞ $F^{\infty}_{\alpha}$ with 0 < p ≤ ∞ $0< p\leq \infty $ .

Keywords