教师信息

邱华
教授、博导


联系方式
南京大学数学系

电子邮件
huaqiu@nju.edu.cn


研究领域
分形分析与分形几何


办公地址
南京大学鼓楼校区蒙民伟楼311-2室




主要课程
大学数学I，II，III

近代应用数学

分形上的分析

分析学选讲



个人简介



个人主页
链接��
教育经历


工作经历


研究兴趣


学术兼职

学术奖励

论文
Preprints:

?(With S. Cao) Function spaces on p.c.f. self-similar sets III: embedding and interpolation theorems,in preparation, current versionon Feb.22,2020
?(With S. Cao) Sobolev spaces on p.c.f. self-similar sets II: boundary behavior and interpolation theorems,pdf
?(With S. Cao) Sobolev spaces on p.c.f. self-similar sets I: critical orders and atomic decompositions,pdf
?(With Q. Gu) Harmonic measures of domains in nested fractals,pdf
?(With Q. Gu, K.S. Lau) Translation invariant Dirichlet forms and their spectral asymptotics on p.c.f. fractals,in preparation, current versionon Jan.1,2020
?(With M.S. Hassler, R.S. Strichartz) Laplacians on Julia sets of rational maps,pdf
?(With S. Cao, Y. Huang, R.S. Strichartz, X. Zhu) Spectral analysis beyond l^2 on Sierpinski lattices,pdf
?(With Q. Gu, K.S. Lau, H.J. Ruan) Metrics on fractals and sub-Gaussian heat kernel estimates,pdf
?(With S. Cao, H. Tian, L. Yang) Spectral decimation for a graph-directed fractal pair,pdf
?(With S. Cao) Higher order Laplacians on fully symmetric p.c.f. fractals,pdf


Publications:

?(With S. Cao) Resistanceforms on self-similar sets with finite ramification of finite type, to appear inPotential Anal.pdf
?(With X. Fu and J.P. Gabardo) Open set condition and pseudo Hausdorff measure of self-affine IFSs, to appear inNonlinearitypdf
?(With S. Cao) Boundary value problems for harmonic functions on domains in Sierpinski gaskets, to appear inCommun. Pure Appl. Anal.pdf,Journal
?(With S. Cao) A topological proof of the non-degeneracy of harmonic structures on Sierpinski gaskets, to appear inAnal. Theory Appl.pdf
?(With H. Tian) Restrictions of Laplacian eigenfunctions to edges in the Sierpinski gasket, Constr. Approx.50 (2019), no. 2, 243-269. pdf, Journal
?(With Y. Li) Fractal sets in the field of p-adic analogue of the complex numbers, Fractals27 (2019), no. 4, **, 10pp. pdf, Journal
?Exact spectrum of the Laplacian on a domain in the Sierpinski gasket, J. Funct. Anal. 277 (2019), no. 3, 806-888. pdf, Journal
?(With Y. Wu, K. Yao) Mean value property of harmonic functions on the tetrahedral Sierpinski gasket, J. Fourier Anal. Appl. 25 (2019), no. 3, 785-803. pdf, Journal
?(With Q. Gu, K.S. Lau) On a recursive construction of Dirichlet form on the Sierpinski gasket, J. Math. Anal. Appl. 474 (2019), no. 1, 674-692. pdf, Journal
?(With L. Mu, K. Yao, W. Su) Hausdorff dimension of the Weyl-Marchaud fractional derivative of a type of fractal functions, (Chinese) Chinese Ann. Math. Ser. A 38 (2017), no. 3, 257-264.
?(With S. Cao) Some properties of the derivatives on Sierpinski gasket type fractals, Constr. Approx. 46 (2017), no. 2, 319-347. pdf, Journal
?(With D. Dou, M. Fan) Topological entropy on subsets for fixed-point free flows, Discrete Contin. Dyn. Syst. 37 (2017), no. 12, 6319-6331. pdf, Journal
?(With Y. Li) p-adic Laplacian in local fields, Nonlinear Anal. 139 (2016), 131-151. pdf, Journal
?Exact Hausdorff and packing measures of Cantor sets with overlaps, Ergodic Theory Dynam. Systems 35 (2015), no. 8, 2632-2668. pdf, Journal
?(With Z. Guo, R. Kogan, R.S. Strichartz) Boundary value problems for a family of domains in the Sierpinski gasket, Illinois J. Math. 58 (2014), no. 2, 497-519. pdf, Journal
?(With R.S. Strichartz) Mean value properties of harmonic functions on Sierpinski gasket type fractals, J. Fourier Anal. Appl. 19 (2013), no. 5, 943-966. pdf, Journal
?Continuity of packing measure functions of self-similar iterated function systems, Ergodic Theory Dynam. Systems 32 (2012), no. 3, 1101-1115. pdf, Journal
?Gibbs-Butzer derivatives over p-adic fields, Appl. Anal. 90 (2011), no. 3-4, 545-561. Journal
?(With W. Su) Distributional dimension of fractal sets in local fields, Acta Math. Sin.(Engl. Ser.) 24 (2008), no. 1, 147-158. Journal
?(With W. Su) The connection between the orders of p-adic calculus and the dimensions of the Weierstrass type function in local fields, Fractals 15 (2007), no. 3, 279-287. Journal
?(With Y. Li, W. Su) On Hausdorff dimension of certain Riesz product in local fields, Anal. Theory Appl. 23 (2007), no. 2, 147-161. Journal
?(With W. Su) 3-adic Cantor function on local fields and its p-adic derivative, Chaos Solitons Fractals 33 (2007), no. 5, 1625-1634. Journal
?(With W. Su) Measures and dimensions and fractal sets in local fields, Progr. Natur. Sci. (English Ed.) 16 (2006), no. 12, 1260-1268. Journal
?(With W. Su) Weierstrass-like functions on local fields and their p-adic derivatives, Chaos Solitons Fractals 28 (2006), no. 4, 958-965. Journal



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