Searched for: subject%3A%22Multilinear%22
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Veerkamp, Kevin (author)
In his paper "Group C*-algebras without the completely bounded approximation property", Haagerup proves several important results about the weak amenability of locally compact groups. Among these, is the result that a lattice in a second-countable, unimodular, locally compact group is weakly amenable if and only if the surrounding group itself...
master thesis 2024
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Lorist, E. (author), Nieraeth, Zoe (author)
We prove that scalar-valued sparse domination of a multilinear operator implies vector-valued sparse domination for tuples of quasi-Banach function spaces, for which we introduce a multilinear analogue of the UMD condition. This condition is characterized by the boundedness of the multisublinear Hardy-Littlewood maximal operator and goes...
journal article 2022
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Caspers, M.P.T. (author), Krishnaswamy Usha, A. (author), Vos, G.M. (author)
Let G be a locally compact unimodular group, and let φ be some function of n variables on G. To such a φ, one can associate a multilinear Fourier multiplier, which acts on some n-fold product of the noncommutative L <sub>p</sub>-spaces of the group von Neumann algebra. One may also define an associated Schur multiplier, which acts on an n...
journal article 2022
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Chen, Peiran (author), Calis, Metin (author), Wijkstra, Hessel (author), Huang, Pintong (author), Hunyadi, Borbala (author), Mischi, Massimo (author)
A cost-effective, widely available, and practical diagnostic imaging tool for prostate cancer (PCa) localization is still lacking. Recently, the contrast-ultrasound dispersion imaging (CUDI) technique has been developed for PCa localization by quantifying dynamic contrast-enhanced ultrasound (DCE-US) acquisitions. Tissue stiffness is an...
conference paper 2022
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Kaygan, Arda (author)
Functional ultrasound (fUS) is a neuroimaging modality that offers high spatial and temporal resolution while also providing portability. In this thesis, neuroimaging data acquired with fUS at Center for Ultrasound and Brain imaging at Erasmus MC (CUBE) is processed. Due to the fact that fUS data is inherently multidimensional, we propose using...
master thesis 2021
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Nieraeth, Z. (author)
The subject of this thesis is the study of the multilinear Muckenhoupt weight classes and the quantitative boundedness of operators with respect to these weights in both the scalar-valued and the vector-valued setting. This includes the study of multisublinear Hardy-Littlewood maximal operators, sparse forms, and multilinear Rubio de Francia...
doctoral thesis 2021
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Lorist, E. (author), Nieraeth, Z. (author)
We give an extension of Rubio de Francia’s extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular we show how boundedness of an m-(sub)linear operator T:Lp1(w1p1)×⋯×Lpm(wmpm)→Lp(wp) for a certain class of Muckenhoupt weights yields an extension of the operator...
journal article 2019
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Weiland, S. (author), Van Belzen, F. (author)
This paper considers the problem of optimal rank approximation of multilinear functions. A new notion of singular values is introduced for an arbitrary tensor and it is shown how optimal lower rank approximations of a tensor can be inferred from these singular values, without resorting to orthogonal tensor decompositions. The results in this...
conference paper 2006
Searched for: subject%3A%22Multilinear%22
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