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Mohamed Akkouchi, [11] studied a general version of a problem posed by Feng Qi [12] in the context of a measured space equipped with a positive finite measure.
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Confidence in the future can make the world seem like something more than, in Hitler's words, "the surface area of a precisely measured space".
Suppose that f is a measurable function on a measure space.
We denote by a complete probability measure space (briefly, a measure space), where is a measurable space, is a sigma algebra of subsets of, and is a probability measure.
Let ((Omega, Sigma, mu)) be a measure space, (f:Omegarightarrow[0,1]) be a measurable function, and (p:Omegarightarrowmathbb{R}) be a nonnegative integrable function.
Let ((Omega, Sigma, mu)) be a measure space, (f,g Omegarightarrow [0,1]) be measurable functions.
Let ((Omega, Sigma, mu)) be a measure space, (f:Omegarightarrow [0,1]) be a measurable function.
Let ((Omega, Sigma, mu)) be a measure space, (f:Omegarightarrow [0,1]) be a measurable function, and C be a copula.
We consider complex-valued measurable functions f defined on a measure space ( X, μ ).
Consequently, for all measurable functions f and g on a measure space, ||fg||1 ≤ ||f|| a ||g|| b.
Suppose (Ω, M, μ) is a measure space and thatK: Ω×Ω→[0, ∞) is an M×M-measurable kernel.
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