多重线性平方函数和多重权重

IF 0.3 4区数学 Q4 MATHEMATICS

Mathematica Scandinavica Pub Date : 2019-01-13 DOI:10.7146/MATH.SCAND.A-105504

L. Grafakos, P. Mohanty, Saurabh Shrivastava

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引用次数: 1

摘要

本文证明了一类光滑多重线性平方函数关于多重线性$A_{\vec P}$权值的加权估计。特别地，我们建立了与等边长不相交立方体相关的光滑多线性平方函数的加权估计。因此，对于这类特殊的多元线性平方函数，我们对Benea和Bernicot(论坛数学)提出的问题给出了肯定的答案。Sigma 4, 2016, e26)关于光滑双线性平方函数的未加权估计。

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Multilinear square functions and multiple weights

In this paper we prove weighted estimates for a class of smooth multilinear square functions with respect to multilinear $A_{\vec P}$ weights. In particular, we establish weighted estimates for the smooth multilinear square functions associated with disjoint cubes of equivalent side-lengths. As a consequence, for this particular class of multilinear square functions, we provide an affirmative answer to a question raised by Benea and Bernicot (Forum Math. Sigma 4, 2016, e26) about unweighted estimates for smooth bilinear square functions.

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来源期刊

Mathematica Scandinavica 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical societies in Scandinavia. It is the aim of the journal to publish high quality mathematical articles of moderate length. Mathematica Scandinavica publishes about 640 pages per year. For 2020, these will be published as one volume consisting of 3 issues (of 160, 240 and 240 pages, respectively), enabling a slight increase in article pages compared to previous years. The journal aims to publish the first issue by the end of March. Subsequent issues will follow at intervals of approximately 4 months. All back volumes are available in paper and online from 1953. There is free access to online articles more than five years old.