Hankel operators with anti-meromorphic symbols. (English) Zbl 1343.47041

Zerouali, E. H.; Alhomsi, W.; Hachadi, H.; Youssfi, E. H.

Ann. Funct. Anal. 6, No. 2, 143-161 (2015).

The authors of the article under review study Hankel operators on spaces of holomorphic functions in \({\mathbb C}\setminus\{0\}\) that belong to \(L^2(\mu_m)\), where \[ d\mu_m(z)=e^{-(|z|^m+|z|^{-m})}dA(z). \] They study the properties of boundedness, compactness and Schatten-von Neumann class membership.

Reviewer: Vladimir V. Peller (East Lansing)

MSC:

47B35	Toeplitz operators, Hankel operators, Wiener-Hopf operators
47B10	Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)

Keywords:

Hankel operators; Hilbert spaces; strong moment problem; Laurent polynomials