Characterizing the Hilbert transform by the Bedrosian theorem
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: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.05.067