Hankel type operators on the unit disk

• Autorzy: Jie Miao
• Języki publikacji: EN

Abstrakty

EN

We study Hankel operators and commutators that are associated with a symbol and a kernel function. If the kernel function satisfies an upper bound condition, we obtain a sufficient condition for commutators to be bounded or compact. If the kernel function satisfies a local bound condition, the sufficient condition turns out to be necessary. The analytic and harmonic Bergman kernels satisfy both conditions, therefore a recent result by Wu on Hankel operators on harmonic Bergman spaces is extended.

Kategorie tematyczne

• 46E22: Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
• 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 146
• Numer: 1
• Strony: 55-68

Daty

wydano

2001

Twórcy

autor

Jie Miao

• Department of Computer Science and Mathematics, Arkansas State University, P.O. Box 70, State University, AR 72467, U.S.A.

Identyfikatory

DOI

10.4064/sm146-1-4