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BMO(ρ) and Carleson Measures

Transactions of the American Mathematical Society, 1985
This paper concerns certain generalizations of BMO, the space of functions of bounded mean oscillation. Let \(\rho\) be a positive nondecreasing function on (0,\(\infty)\) with \(\rho (0+)=0\). A locally integrable function on \({\mathbb{R}}^ m\) is said to belong to BMO(\(\rho)\) if its mean oscillation over any cube Q is O(\(\rho\) (\(\ell (Q ...
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