Bilinear Littlewood-Paley for circle and transference
نویسندگان
چکیده
منابع مشابه
On Bilinear Littlewood-paley Square Functions
On the real line, let the Fourier transform of kn be k̂n(ξ) = k̂(ξ−n) where k̂(ξ) is a smooth compactly supported function. Consider the bilinear operators Sn(f, g)(x) = ∫ f(x + y)g(x − y)kn(y) dy. If 2 ≤ p, q ≤ ∞, with 1/p + 1/q = 1/2, I prove that ∞ ∑ n=−∞ ‖Sn(f, g)‖2 ≤ C‖f‖p‖g‖q . The constant C depends only upon k.
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2011
ISSN: 0214-1493
DOI: 10.5565/publmat_55211_11