The Boundedness of the Dilated Averages over the Parabola

Junfeng Li , Ankang Yu

Frontiers of Mathematics ›› : 1 -22.

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Frontiers of Mathematics ›› : 1 -22. DOI: 10.1007/s11464-025-0032-1
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The Boundedness of the Dilated Averages over the Parabola

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Abstract

This paper investigates the variation bounds and mixed norm bounds for the dilated averages operator. The established bounds are shown to be sharp, except for certain endpoint cases.

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dilated averages operator / parabola / variation / mixed norm / 42B20 / 42B25

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Junfeng Li,Ankang Yu. The Boundedness of the Dilated Averages over the Parabola. Frontiers of Mathematics 1-22 DOI:10.1007/s11464-025-0032-1

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