Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 59, Number 2 (2015), 295-317.
Algebraic properties of small Hankel operators on the harmonic Bergman space
This paper completely characterizes the commuting problem of two small Hankel operators acting on the harmonic Bergman space with the symbols one being bounded and another being quasihomogeneous, or both being harmonic. The characterizations for semi-commuting problem and the product of two small Hankel operators being another small Hankel operator for certain class of symbols are also obtained.
Illinois J. Math., Volume 59, Number 2 (2015), 295-317.
Received: 7 June 2014
Revised: 29 January 2016
First available in Project Euclid: 5 May 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Secondary: 31A05: Harmonic, subharmonic, superharmonic functions
Chen, Yong; He, Wei; Hu, Yunzhong. Algebraic properties of small Hankel operators on the harmonic Bergman space. Illinois J. Math. 59 (2015), no. 2, 295--317. doi:10.1215/ijm/1462450702. https://projecteuclid.org/euclid.ijm/1462450702