Equivalence between Poly\'a-SzegH{o} and relative capacity inequalities under rearrangement
classification
🧮 math.FA
math.AP
keywords
capacitysetstransformationsa-szegactingassociatedcharacterizedequivalence
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The transformations of functions acting on sublevel sets that satisfy a P\'olya-Szeg\H{o} inequality are characterized as those being induced by transformations of sets that do not increase the associated capacity.
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