Abstract Given a probability space ( X , μ) and a bounded domain Ω in ℝ d equipped with the Lebesgue measure |·| (normalized so that |Ω| = 1), it is shown (under additional technical assumptions on X and Ω) that for every vector‐valued function u ∈ L p ( X , μ; ℝ d ) there is a unique “polar factori...
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