Rearrangement invariant optimal range for Hardy type operators
classification
🧮 math.FA
math.CA
keywords
optimaloperatorsrangehardyinvariantrearrangementanalyzedcarefully
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We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between optimal range and optimal domain for these operators is carefully analyzed.
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