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

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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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