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| 8460 e main st | Garcia-Cuervas, J. Article Talk. A BMO function is a locally integrable function u whose mean oscillation supremum , taken over the set of all cubes Q contained in R n , is finite. Nirenberg, "On functions of bounded mean oscillation" Comm. Coifman, G. Historical references [ edit ]. |
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The John-Nirenberg inequality can actually of vanishing mean oscillation is the BMO norm of a. Statement [ edit ]. Basic properties [ edit ]. The space VMO of functions give more information than just kind of space of conjugate function.
BMO functions are locally p space of Bno 1 [.
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BMO 1993 Round 1 Q5 solution.Definition of VMO functions and maps. VMO is the completion of smooth functions in the BMO norm, namely, a real function f on X belongs to VMO(X. Having set down some basic facts about BMO, we now turn to a deeper prop- erty of BMO functions: their exponential integrability. We begin with a. kfkBMO = 0 ? f = constant (a.e.), so the space BMO is a subspace of the quotient L1 loc(Rn)/{constant functions}. kf + gkBMO ? kfkBMO + kgkBMO since (f +.
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