Abstract. Carleson type measures with additional logarithmic terms are characterized by using functions in $BMOA$ and the Bloch space. The results are applied to a kind of integral operators and pointwise multipliers on $BMOA$ and the Bloch space, as well as Toeplitz operators on the weighted Bergman $1$-space.
AMS Subject Classification
(1991): 30D50; 30D45, 47B35
Keyword(s):
logarithmic Carleson measure,
BMOA,
pointwise multipliers,
Bloch space
Received February 20, 2002, and in revised form July 19, 2002. (Registered under 2919/2009.)
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