Maximal functions associated with families of homogeneous curves: Lp bounds for P ≤ 2
2020 ◽
Vol 63
(2)
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pp. 398-412
AbstractLet M(u), H(u) be the maximal operator and Hilbert transform along the parabola (t, ut2). For U ⊂ (0, ∞) we consider Lp estimates for the maximal functions sup u∈U|M(u)f| and sup u∈U|H(u)f|, when 1 < p ≤ 2. The parabolas can be replaced by more general non-flat homogeneous curves.
2010 ◽
Vol 140
(3)
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pp. 541-552
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2003 ◽
Vol 74
(1)
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pp. 111-120
Keyword(s):
2017 ◽
Vol 60
(3)
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pp. 586-603
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2015 ◽
Vol 58
(4)
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pp. 808-817
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Keyword(s):
1994 ◽
Vol 46
(5)
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pp. 1057-1072
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2016 ◽
Vol 95
(1)
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pp. 108-120
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Keyword(s):
2006 ◽
Vol 135
(01)
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pp. 151-161
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