Inversion formulae for the $\mathrm {\cosh }$-weighted Hilbert transform
نویسندگان
چکیده
منابع مشابه
Inversion Theorem for Bilinear Hilbert Transform
where f ∈ L2(R) and g ∈ L∞(R), respectively f ∈ Lp1(R) and g ∈ Lp2(R), 1 < p1, p2 <∞. Their main result is the affirmative answer on the Calderon conjecture, first for p1 = 2, p2 = ∞ ([5]), then for p1, p2 ∈ (1,∞). Let 2/3 < p = p1p2 p1+p2 or p1 = 2, p2 = ∞ and p = 2. Then their main result is ||Hα(f, a)||Lp ≤ C||f ||Lp1 ||a||Lp2 , f ∈ L p1, a ∈ Lp2, where C > 0 depends on α, p1, p2. We refer t...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2013
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2013-11642-4