Hankel type operators on the unit disk

Jie Miao. "Hankel type operators on the unit disk." Studia Mathematica 146.1 (2001): 55-68. <http://eudml.org/doc/284607>.

@article{JieMiao2001,
abstract = {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.},
author = {Jie Miao},
journal = {Studia Mathematica},
keywords = {Hankel operators; commutators; symbol; kernel function; harmonic Bergman kernels; harmonic Bergman spaces},
language = {eng},
number = {1},
pages = {55-68},
title = {Hankel type operators on the unit disk},
url = {http://eudml.org/doc/284607},
volume = {146},
year = {2001},
}

TY - JOUR
AU - Jie Miao
TI - Hankel type operators on the unit disk
JO - Studia Mathematica
PY - 2001
VL - 146
IS - 1
SP - 55
EP - 68
AB - 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.
LA - eng
KW - Hankel operators; commutators; symbol; kernel function; harmonic Bergman kernels; harmonic Bergman spaces
UR - http://eudml.org/doc/284607
ER -