## Functiones et Approximatio Commentarii Mathematici

### Toeplitz operators with distributional symbols on Fock spaces

#### Abstract

We define and study Toeplitz operators $T_a$ with distributional symbols in the setting of weighted Fock spaces of entire functions on the complex plane. Sufficient conditions for boundedness and compactness are presented in terms of the symbol belonging to a weighted Sobolev space $W_\omega^{-m, \infty}$ of negative order.

#### Article information

Source
Funct. Approx. Comment. Math., Volume 44, Number 2 (2011), 203-213.

Dates
First available in Project Euclid: 22 June 2011

https://projecteuclid.org/euclid.facm/1308749124

Digital Object Identifier
doi:10.7169/facm/1308749124

Mathematical Reviews number (MathSciNet)
MR2841179

Zentralblatt MATH identifier
1259.47037

#### Citation

Perälä, Antti; Taskinen, Jari; Virtanen, Jani. Toeplitz operators with distributional symbols on Fock spaces. Funct. Approx. Comment. Math. 44 (2011), no. 2, 203--213. doi:10.7169/facm/1308749124. https://projecteuclid.org/euclid.facm/1308749124

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