Tohoku Mathematical Journal
2004
June
SECOND SERIES VOL. 56, NO. 2

Tohoku Math. J.
56 (2004), 255-270

Title POSITIVE TOEPLITZ OPERATORS FROM A HARMONIC BERGMAN SPACE INTO ANOTHER

Author Boo R. Choe, Young J. Lee and Kyunguk Na

(Received September 30, 2002, revised August 4, 2003)
Abstract. On the setting of bounded smooth domains, we study positive Toeplitz operators between the harmonic Bergman spaces. We give characterizations of bounded and compact Toeplitz operators taking one harmonic Bergman space into another in terms of certain Carleson and vanishing Carleson measures.

2000 Mathematics Subject Classification. Primary 47B35; Secondary 31B05.
Key words and phrases. Toeplitz operators, Harmonic Bergman spaces, Carleson measure.

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