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Read Edit View history. Notes [ edit ]. The John-Nirenberg Inequality [ edit.
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| Bmo 1 2 marathon route | Note 2. This article was adapted from an original article by J. Precisely, if Q and R are dyadic cubes such that their boundaries touch and the side length of Q is no less than one-half the side length of R and vice versa , then. Weiss, "Extensions of Hardy spaces and their use in analysis" Bull. References [a1] R. |
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| Bmo space | References [ edit ]. The John�Nirenberg Inequality is an estimate that governs how far a function of bounded mean oscillation may deviate from its average by a certain amount. Fefferman, "Characterizations of bounded mean oscillation" Bull. The supremum of the mean oscillation is called the BMO norm of u. Statement [ edit ]. |
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| Alco banking | Rubio de Francia, "Weighted norm inequalities and related topics" , Math. Fefferman, "Characterizations of bounded mean oscillation" Bull. Relation to the Hilbert transform [ edit ]. References [a1] R. Encyclopedia of Mathematics. This page was last edited on 4 February , at Here as before f I is the mean value of f over the arc I. |
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BMO Went to Space IN REAL LIFE! (Adventure Time: Distant Lands)Questions: 1. I think what can be the definition of BMO spaces on a torus Tn=S1? ?S1? We cannot have cubes of arbitrary diameter. Maybe we can. BMO(Rn) = {f ? L1 loc(Rn): kfkBMO < ?} is called the function space of bounded mean oscillation or the BMO space. aThe use of cubes Q in Rn as the. The space of functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of Hardy spaces Hp.
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