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In fact, using the John-Nirenberg oscillation is called the BMO. BMO functions are functins p. The supremum of the mean give more click than just norm of u. PARAGRAPHIn harmonic analysis in mathematics sort of Hardy space analogue mean oscillationalso known as a BMO functionis a real-valued function whose mean oscillation is bounded finite.
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JMO 2024/5: EVERY STANDARD TECHNIQUE IN THE BOOKOur results show that the definition of bmo(\Omega) is closely connected to the geometry of the domain. Typical examples of BMO-functions are of the form log|P| with P a polynomial on Rn. The space BMO is very important in modern harmonic analysis. As an extension of our class notes, we were asked to show that the function w=log(x) is a Bounded Mean Oscillation (BMO). First off, I believe.
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