Results 1 to 10 of about 89 (50)
A quantum multiplier based on the quantum Fourier transform algorithm
Dianzi Jishu Yingyong, 2022 Multiplier is one of the basic units in many quantum algorithms. In order to implement the multiplying operations and use as few auxiliary qubits in the quantum circuit as possible, a quantum multiplier based on the quantum Fourier transform is proposed.
Qian Junkai, Zhu Jialiang, Ye Bin
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The dimension-free estimate for the truncated maximal operator
Open Mathematics, 2022 We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
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Equivalent Characterization on Besov Space
Abstract and Applied Analysis, 2021 In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm.
Cong He, Jingchun Chen
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Best multiplier Approximation in L_(p,∅_n ) (B)
Al-Mustansiriyah Journal of Science, 2019 The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy +2 more
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Smoothness of functions versus smoothness of approximation processes
Bulletin of Mathematical Sciences, 2020 We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes.
Yu. S. Kolomoitsev, S. Yu. Tikhonov
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Weighted Morrey Estimates for Multilinear Fourier Multiplier Operators
Abstract and Applied Analysis, 2014 The multilinear Fourier multipliers and their commutators with Sobolev regularity are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn).
Songbai Wang, Yinsheng Jiang, Peng Li
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The multipliers of multiple trigonometric Fourier series
Open Engineering, 2016 We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier
Ydyrys Aizhan +2 more
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Space–time analytic smoothing effect of the heat semigroup defined on homogeneous Besov spaces
Partial Differential Equations in Applied Mathematics, 2021 We refine the decay estimate of the heat semigroup {T(t)}t≥0defined on homogeneous Besov spaces Ḃp,qs(Rn)for s∈R,p,q∈[1,∞], which is obtained by Kozono et al. (2003).
Taiki Takeuchi
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Some Weighted Estimates for Multilinear Fourier Multiplier Operators
Abstract and Applied Analysis, 2013 We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces ...
Zengyan Si
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Sharp-interface models and diffuse-interface models are the two basic types of models that describe liquid-vapour flow for compressible fluids. Their depictions of the line dividing liquid from vapour are different.
Yiyi Fikri Nurizki +2 more
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