End-point estimates and multi-parameter paraproducts on higher dimensional tori
نویسندگان
چکیده
منابع مشابه
Uniform Estimates on Paraproducts
We prove uniform L estimates (Theorem 1.1) for a family of paraproducts and corresponding maximal operators.
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By means of an example it is shown that a supercritical bifurcation of an invariant 2-torus into an invariant 3-torus prevailing in the case of nonresonance may be replaced by a transcritical bifurcation into a pinched invariant 3-torus in the case of resonance. The connections of these bifurcation phenomena with the properties of the spectrum of the underlying invariant 2-torus are discussed. ...
متن کاملBi-parameter Paraproducts
In the first part of the paper we prove a bi-parameter version of a well known multilinear theorem of Coifman and Meyer. As a consequence, we generalize the Kato-Ponce inequality in nonlinear PDE. Then, we show that the double bilinear Hilbert transform does not satisfy any L estimates.
متن کاملN ov 2 00 4 MULTI - PARAMETER PARAPRODUCTS
We prove that the classical Coifman-Meyer theorem holds on any polydisc T d of arbitrary dimension d ≥ 1.
متن کاملUniform estimates for some paraproducts
We establish L × L to L estimates for some general paraproducts, which arise in the study of the bilinear Hilbert transform along curves.
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2010
ISSN: 0213-2230
DOI: 10.4171/rmi/610