We study Hankel operators on the harmonic Bergman spaces on bounded smooth domains, and obtain a necessary and sufficient condition for Hankel operators to be bounded or compact on both harmonic Bergman space and its dual space.
@article{1170347685,
author = {Oshima, Keita},
title = {Hankel operators on harmonic Bergman spaces},
journal = {Tohoku Math. J. (2)},
volume = {58},
number = {1},
year = {2006},
pages = { 475-491},
language = {en},
url = {http://dml.mathdoc.fr/item/1170347685}
}
Oshima, Keita. Hankel operators on harmonic Bergman spaces. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp. 475-491. http://gdmltest.u-ga.fr/item/1170347685/