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On logarithmic Carleson measures. (English) Zbl 1050.30024

Summary: 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.

MSC:

30D50 Blaschke products, etc. (MSC2000)
30D45 Normal functions of one complex variable, normal families
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
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