Proves a novel weighted Riesz-Kolmogorov theorem enabling multilinear extrapolation of compactness in weighted variable Lebesgue spaces, yielding new estimates for commutators of Calderon-Zygmund operators and related multilinear operators.
Extrapolation of Compactness on Banach Function Spaces
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Weighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces
Proves a novel weighted Riesz-Kolmogorov theorem enabling multilinear extrapolation of compactness in weighted variable Lebesgue spaces, yielding new estimates for commutators of Calderon-Zygmund operators and related multilinear operators.