Search Results - "Fan, Dashan"

Asymptotic estimates of solution to damped fractional wave equation by Wang, Meizhong, Fan, Dashan

“…It is known that the damped fractional wave equation has the diffusive structure as t → ∞ . Let u ( t , x ) = e − t cosh ( t L ) f ( x ) + e − t sinh ( t L ) L…”
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A Maximal Oscillatory Operator on Compact Manifolds by Liu, Ziyao, Chen, Jiecheng, Fan, Dashan

“…This is a continuation of our previous research about an oscillatory integral operator T α , β on compact manifolds M . We prove the sharp H p - L p , ∞…”
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Transference of bilinear multipliers on Lorentz spaces by Liu, Ziyao, Fan, Dashan

“…We study DeLeeuw type transference theorems for multi-linear multiplier operators on the Lorentz spaces. To be detail, we show that, under some mild conditions…”
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A Transference Theorem and Its Application by Liu, Ziyao, Chen, Jiecheng, Fan, Dashan

“…In this article, we establish a transference between the n-dimensional Euclidean space R n and the n-torus T n about the H p - L p , ∞ boundedness of maximal…”
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Optimal Estimate of an Oscillatory Operator on Compact Manifolds by Chen, Jiecheng, Fan, Dashan, Zhao, Fayou

“…In this article, we study an oscillating multiplier operator T α , β , 0 < α < 1 , on an n -dimensional ( n ≥ 2 ) compact connected manifold M , g without…”
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Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces by Fan Dashan, Zhao Fayou

“…We investigate the convergence of Bochner–Riesz means on Hardy–Sobolev spaces. The relation between the smoothness imposed on functions and the rate of almost…”
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Wave Operator on Compact Manifolds by Pan Yali, Fan Dashan

“…On an n-dimensional (n ≥ 2) compact connected manifold without boundary, we obtain the sharp range of p to ensure the Lp convergence of the wave operator. We…”
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The Hp–Hq Estimates for a Class of Dispersive Equations and Related Applications by Deng Qingquan, Fan Dashan, Zhao Ruizhi

“…In this paper we study the Hp–Hq estimates of the solutions for a class of dispersive equations {i∂tu(t,x)=−P(∣∇∣)u(t,x),(t,x)∈ℝ×ℝn,u(0,x)=u0(x),x∈ℝn, where P:…”
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Solution of Linear Damped Wave Equation on Triebel–Lizorkin Spaces by Wang, Meizhong, Chen, Jiecheng, Fan, Dashan, Zhao, Junyan

“…In this article we study the solution u ( t ,  x ) of the Cauchy problem of linear damped wave equation. We obtain the sufficient and necessary condition of…”
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Hausdorff Operator on Morrey Spaces and Campanato Spaces by Ruan, Jianmiao, Fan, Dashan, Li, Hongliang

“…We study the high-dimensional Hausdorff operators on the Morrey space and on the Campanato space. We establish their sharp boundedness on these spaces…”
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Characterizations of Some Properties on Weighted Modulation and Wiener Amalgam Spaces by Guo, Weichao, Chen, Jiecheng, Fan, Dashan, Zhao, Guoping

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Hausdorff Operators on Function Spaces by Chen, Jiecheng, Fan, Dashan, Li, Jun

“…The authors mainly study the Hausdorff operators on Euclidean space Rn. They establish boundedness of the Hausdorff operators in various function spaces, such…”
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Redox Couple Modulation in NASICON Phosphates toward High-Performance Cathodes for Na-Ion Batteries by Fan, Dashan, Shen, Qiuyu, Li, Han, Qu, Xuanhui, Jiao, Lifang, Liu, Yongchang

“…Natrium superionic conductor (NASICON)-type phosphates have aroused a great interest as cathode materials for sodium-ion batteries (SIBs) by virtue of their…”
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Space-Time Estimates on Damped Fractional Wave Equation by Chen, Jiecheng, Zhang, Chunjie, Fan, Dashan

“…We obtain space-time estimates on the solution u ( t , x ) to the Cauchy problem of damped fractional wave equation. We mainly focus on the linear equation…”
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Estimates for damped fractional wave equations and applications by Jiecheng Chen, Dashan Fan, Chunjie Zhang

“…In our previous article [1] we estimated the L^p-norm ($p\geq 1$) of the solution to damped fractional wave equation. In this article, we prove other L^p…”
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Sharpness of some properties of weighted modulation spaces by Guo, WeiChao, Fan, DaShan, Wu, HuoXiong, Zhao, GuoPing

“…We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution…”
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Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces by Zhou, Xuhuan, Fan, Dashan, Chen, Jiecheng, Xiao, Weiliang

“…We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces FB˙p,q1-2β+3/p′. Some properties of Fourier-Besov spaces…”
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Estimates for wave and Klein-Gordon equations on modulation spaces by Chen, JieCheng, Fan, DaShan

“…We prove that the fundamental semi-group e^it（m^2│△│）^1/2 （m≠ 0） of the Klein-Gordon equation is bounded on the modulation space M^8p,q（R^n） for all 0 〈 p, q…”
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On hyper-singular integral operators with variable kernels by Bartl, Michael, Fan, Dashan

“…Let n ⩾ 2 , S n − 1 be the unit sphere in R n . For 0 ⩽ α < 1 , m ∈ N 0 , 1 < p ⩽ 2 , and Ω ∈ L ∞ ( R n ) × H r ( S n − 1 ) with r > p ′ ( n − 1 ) n + 2 ( α +…”
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Hausdorff operators on the power weighted Hardy spaces by Ruan, Jianmiao, Fan, Dashan

“…In this paper, we study the high-dimensional Hausdorff operators on the power weighted Hardy spaces. We establish their sharp boundedness on power weighted…”
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