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Annals of Mathematics, II. Series Vol. 149, No. 2, pp. 475496 (1999) 

On Calderón's conjectureMichael Lacey and Christoph ThieleReview from Zentralblatt MATH: This paper is in continuation of authors' earlier paper [Ann. Math., II. Ser. 146, No. 3, 693724 (1997; Zbl 0914.46034)] in which they discussed bilinear operators of the form $$H_\alpha(f_1,f_2)(x):= \text{p.v. }\int f_1(x t) f_2(x+\alpha t) dt/t\tag{$*$}$$ which are originally defined for $f_1$ and $f_2$ in the Schwartz class $S(\bbfR)$. The authors investigate whether estimates of the form $$\H_\alpha(f_1, f_2)\_p\le C_{\alpha,p_1,p_2}\f_1\_{p_1}\f_2\_{p_2}\tag{$ Reviewed by Ram Kishore Saxena Keywords: singular integrals; bilinear operators; Marcinkiewicz interpolation; maximal functions; partial order; CalderónZygmund theory; orthogonality Classification (MSC2000): 42B20 44A15 42A50 46F12 Full text of the article:
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