Bmo norm

bmo norm

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Moreover, every constant function c satisfies kckBMO = 0. Consequently, functions f and f + c have the same BMO norms whenever c is a constant. In the sequel. The BMO space consists of all the functions having bounded mean oscillation, equipped with the BMO-norm, ?�??. Note that the BMO-norm is not a real norm. Here, ?f?? is called the BMO-norm of f, and it becomes a norm on BMO after dividing out the constant functions. Bounded functions are in BMO and.
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The class of holomorphic functions cf. Definition 3. In fact, using the John-Nirenberg Inequality, we can prove that. Nirenberg [a8] , [a12] , in connection with differential equations. Rubio de Francia, "Weighted norm inequalities and related topics" , Math.