Multilinear paraproducts revisited
نویسندگان
چکیده
منابع مشابه
Multilinear Paraproducts Revisited
We prove that mutlilinear paraproducts are bounded from products of Lebesgue spaces L1 ×· · ·×Lm+1 to Lp,∞, when 1 ≤ p1, . . . , pm+1 <∞, 1/p1+· · ·+1/pm+1 = 1/p. We focus on the endpoint case when some indices pj are equal to 1, in particular we obtain the new endpoint estimate L× · · · ×L → L1/(m+1),∞. In memory of Nigel Kalton
متن کاملBilinear Paraproducts Revisited
Boundedness properties for bilinear paraproducts on several function spaces are presented. The methods are based on the realization of paraproducts as bilinear Calderón-Zygmund operators and the molecular characterization of function spaces. This provides a unified approach for the study of paraproducts, recovering some know results and establishing several new.
متن کاملUniform estimates for paraproducts and related multilinear multipliers
In this paper, we prove some uniform estimates between Lebesgue and Hardy spaces for operators closely related to the multilinear paraproducts on Rd. We are looking for uniformity with respect to parameters, which allow us to disturb the geometry and the metric on Rd.
متن کاملUniform Estimates on Paraproducts
We prove uniform L estimates (Theorem 1.1) for a family of paraproducts and corresponding maximal operators.
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.
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2015
ISSN: 0213-2230
DOI: 10.4171/rmi/847