Results 11 to 20 of about 14,194 (175)
Bilinear multipliers and transference [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We give de Leeuw-type transference theorems for bilinear multipliers. In particular, it is shown that bilinear multipliers arising from regulated functions m(ξ,η) in ℝ×ℝ can be transferred to bilinear multipliers acting on 𝕋×𝕋 and ℤ×ℤ. The results follow
Oscar Blasco
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Bilinear Multipliers on Banach Function Spaces
Journal of Function Spaces, 2019 Let X1,X2,X3 be Banach spaces of measurable functions in L0(R) and let m(ξ,η) be a locally integrable function in R2. We say that m∈BM(X1,X2,X3)(R) if Bm(f,g)(x)=∫R∫Rf^(ξ)g^(η)m(ξ,η)e2πidξdη, defined for f and g with compactly supported Fourier transform,
Oscar Blasco
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Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
J Geom Anal, 2018 We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework, we prove Coifman-Meyer type multiplier theorems and fractional Leibniz rules. Our theory applies to bilinear multipliers associated with the discrete Laplacian on Z d , general bi-radial bilinear Dunkl multipliers, and to ...
Wróbel B.
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Bilinear multipliers of small Lebesgue spaces
TURKISH JOURNAL OF MATHEMATICS, 2021 Let $G$ be a locally compact abelian metric group with Haar measure $\lambda $ and $\hat{G}$ its dual with Haar measure $\mu ,$ and $\lambda ( G) $ is finite.
Öznur KULAK, A.Turan GÜRKANLI
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Bilinear Fourier Multipliers of Bounded Variation
International Mathematics Research Notices, 2022 Abstract In this paper, we obtain weighted estimates for bilinear Fourier multipliers of bounded variation that provide new restricted weak-type bounds. We also study their boundedness on the setting of the weighted Lorentz spaces. The results are obtained using Rubio de Francia extrapolation as the main tool.
Baena-Miret, Sergi +3 more
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Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
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Unimodular bilinear Fourier multipliers on $$L^p$$ spaces [PDF]
Monatshefte für Mathematik, 2020 Typos corrected.
Kaur, Jotsaroop, Shrivastava, Saurabh
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Notes on bilinear multipliers on Orlicz spaces [PDF]
Mathematische Nachrichten, 2019 AbstractLet and Φ3 be Young functions and let , and be the corresponding Orlicz spaces. We say that a function defined on is a bilinear multiplier of type if defines a bounded bilinear operator from to . We denote by the space of all bilinear multipliers of type and investigate some properties of such a class.
Blasco, Oscar, Osancliol, Alen
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Unboundedness of the Ball Bilinear Multiplier Operator [PDF]
Nagoya Mathematical Journal, 2007 AbstractFor all n > 1, the characteristic function of the unit ball in ℝ2n is not the symbol of a bounded bilinear multiplier operator from Lp(ℝn) × Lq(ℝn) to Lr(ℝn) when 1/p + 1/q = 1/r and exactly one of p, q, or r′ = r/(r – 1) is less than 2.
Diestel, Geoff, Grafakos, Loukas
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Bilinear Modeling via Augmented Lagrange Multipliers (BALM) [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012 This paper presents a unified approach to solve different bilinear factorization problems in computer vision in the presence of missing data in the measurements. The problem is formulated as a constrained optimization where one of the factors must lie on a specific manifold.
A. Del Bue +3 more
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