we establish a sharp maximal function estimate for some vector-valued multilinear singular integral operators. as an application, we obtain the $(l^p, l^q)$-norm inequality for vector-valued multilinear operators.

This study was conducted to compare the bio-efficacy of herbal methionine (H-Met) relative to DL-methionine (DL-Met) on 160 “Ross 308” broiler chickens. DL-Met and H-Met were added to the basal diet in eight experimental treatments with three and four concentrations respectively in starter, grower and finisher period. Blood parameters which were measured at 24 and 42 days of age consisted of: s...

In March, 2015 Gu Chunsheng proposed a candidate ideal multilinear map [9]. An ideal multilinear map allows to perform as many multiplications as desired, while in κ-multilinear maps like GGH [5] or CLT [3,4] one we can perform at most a predetermined number κ of multiplications. In this note, we show that the extraction Multilinear Computational Diffie-Hellman problem (extMCDH) associated to G...

By considering a least squares approximation of a given square integrable function f ∶ [0,1]n → R by a multilinear polynomial of a specified degree, we define an index which measures the overall interaction among variables of f . This definition extends the concept of Banzhaf interaction index introduced in cooperative game theory. Our approach is partly inspired from multilinear regression ana...

In this paper, we study the structure of set-multilinear arithmetic circuits and set-multilinear branching programs with the aim of showing lower bound results. We define some natural restrictions of these models for which we are able to show lower bound results. Some of our results extend existing lower bounds, while others are new and raise open questions. Specifically, our main results are t...

QSAR study has been carried out on the set of 35 Beta-blocker drugs for modelling toxicity (Ld50), using topological indices. The stepwise multilinear regression analysis method is used and obtained models are critically discussed examined by various types cross validation parameters

One hint that Theorem 0.1 might be more tractable than Theorem 0.2 is that the maximum value of p is the critical exponent in multilinear restriction. Our proof of Theorem 0.1 indeed uses multilinear restriction as an input. This lecture is divided into 3 parts. First are the “multiscale tools”; a statement of some of the properties of the decoupling problem that makes arguments at different sc...

In this article, we describe a speaker adaptation method based on the probabilistic 2-mode analysis of training models. Probabilistic 2-mode analysis is a probabilistic extension of multilinear analysis. We apply probabilistic 2-mode analysis to speaker adaptation by representing each of the hidden Markov model mean vectors of training speakers as a matrix, and derive the speaker adaptation equ...

we establish a sharp maximal function estimate for some vector-valued multilinear singular integral operators. as an application, we obtain the $(l^p, l^q)$-norm inequality for vector-valued multilinear operators.