Geodesic
DOUBLE HILBERT TRANSFORMS ALONG POLYNOMIAL SURFACES IN R3
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 395-428

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DOI

We obtain a necessary and sufficient condition on a polynomial P(s, t) so that the (global) double Hilbert transforms along polynomial surfaces (s, t, P(s, t)) in R3 are bounded on Lp for 1 < p < ∞.
DOI : 10.1017/S0017089508004291
Mots-clés : 42B20 
PATEL, SANJAY. DOUBLE HILBERT TRANSFORMS ALONG POLYNOMIAL SURFACES IN R3. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 395-428. doi: 10.1017/S0017089508004291
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     author = {PATEL, SANJAY},
     title = {DOUBLE {HILBERT} {TRANSFORMS} {ALONG} {POLYNOMIAL} {SURFACES} {IN} {R3}},
     journal = {Glasgow mathematical journal},
     pages = {395--428},
     year = {2008},
     volume = {50},
     number = {3},
     doi = {10.1017/S0017089508004291},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004291/}
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