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Symmetrization Inequalities for Composition Operators of Carathéodory type

Symmetrization Inequalities for Composition Operators of Carathéodory type

Let F:(0, ∞) × [0, ∞) → R be a function of Carathéodory type. We establish the inequality ∫ R N F ( | x | , u ( x ) ) d x ⩽ ∫ R N F ( | x | , u ∗ ( x ) ) …