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MR2746668 (2011m:31013) 31C25 (46E15 47B38)
Galanopoulos, Petros; Girela, Daniel; Peláez, José Ángel Multipliers and integration operators on Dirichlet spaces. Trans. Amer. Math. Soc. 363 (2011), no. 4, 1855–1886.
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