Tohoku Mathematical Journal
2006
December
SECOND SERIES VOL. 58, NO. 4

Tohoku Math. J.
58 (2006), 475-491

Title HANKEL OPERATORS ON HARMONIC BERGMAN SPACES

Author Keita Oshima

(Received February 16, 2005, revised October 13, 2005)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 47B35; Secondary 47B32.
Key words and phrases. Hankel operators, harmonic Bergman spaces.

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