 Hua Qiu

Department of Mathematics
Nanjing University
Hankou Road, No.22, Goulou District
210093, Nanjing
P.R. China
I am a Professor of Mathematics at Nanjing University.
Contact information
Office: Mengminwei Building, Room 3112, Gulou Campus, Nanjing University
Email: huaqiu(at)nju.edu.cn
Education and appointment
2007.6: Ph.D. in Mathematics, Nanjing University
2018.12: Professor, Department of Mathematics, Nanjing University
Research interests
Fractal Analysis : Laplacians and Dirichlet forms, spectral asymptotical analysis, function spaces on fractals...
Fractal geometry : selfsimilar sets; measures and dimensions; separating conditions...
Preprints
(with S. Cao) Equivalence of Besov spaces on p.c.f. selfsimilar sets,
29 pages. pdf
(with S. Cao) Function spaces on p.c.f. selfsimilar sets III: embedding and interpolation theorems,
58 pages, in preparation. version 1 on Feb.22, 2020, pdf
(with S. Cao) Sobolev spaces on p.c.f. selfsimilar sets II: boundary behavior and interpolation theorems,
29 pages. pdf
(with S. Cao) Sobolev spaces on p.c.f. selfsimilar sets I: critical orders and atomic decompositions,
39 pages. pdf
(with Q. Gu) Harmonic measures of domains in nested fractals,
18 pages. pdf
(with Q. Gu, K.S. Lau) Translation invariant Dirichlet forms and their spectral asymptotics on p.c.f. fractals,
27 pages, in preparation. version 1 on Jan. 1, 2020, pdf
(with M.S. Hassler, R.S. Strichartz) Laplacians on Julia sets of rational maps,
15 pages. pdf
(with S. Cao, Y. Huang, R.S. Strichartz, X. Zhu) Spectral analysis beyond l^2 on Sierpinski lattices,
13 pages. pdf
(with Q. Gu, K.S. Lau, H.J. Ruan) Metrics on fractals and subGaussian heat kernel estimates,
43 pages. pdf
(with S. Cao, H. Tian, L. Yang) Spectral decimation for a graphdirected fractal pair,
20 pages. pdf
(with S. Cao) Higher order Laplacians on fully symmetric p.c.f. fractals,
28 pages. pdf
Publications
(with S. Cao) Resistance forms on selfsimilar sets with finite ramification of finite type,
to appear in Potential Anal. pdf
(with X. Fu and J.P. Gabardo) Open set condition and pseudo Hausdorff measure of selfaffine IFSs,
to appear in Nonlinearity. pdf
(with S. Cao) A topological proof of the nondegeneracy of harmonic structures on Sierpinski gaskets,
to appear in Anal. Theory Appl.pdf
(with S. Cao) Boundary value problems for harmonic functions on domains in Sierpinski gaskets,
Commun. Pure Appl. Anal. 19 (2020), no. 2, 11471179. pdf,
Journal
(with H. Tian) Restrictions of Laplacian eigenfunctions to edges in the Sierpinski gasket,
Constr. Approx. 50 (2019), no. 2, 243269. pdf,
Journal
(with Y. Li) Fractal sets in the field of padic analogue of the complex numbers,
Fractals 27 (2019), no. 4, 1950053. pdf,
Journal
Exact spectrum of the Laplacian on a domain in the Sierpinski gasket,
J. Funct. Anal. 277 (2019), no. 3, 806888. 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, 785803. 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, 674692. pdf,
Journal
(with L. Mu, K. Yao, W. Su) Hausdorff dimension of the WeylMarchaud fractional derivative of a type of fractal functions, (in Chinese)
Chinese Ann. Math. Ser. A 38 (2017), no. 3, 257264.
(with S. Cao) Some properties of the derivatives on Sierpinski gasket tyoe fractals,
Constr. Approx. 46 (2017), no. 2, 319347. pdf,
Journal
(with D. Dou, M. Fan) Topological entropy on subsets for fixedpoint free flows,
Discrete Contin. Dyn. Syst. 37 (2017), no. 12, 63196331. pdf,
Journal
(with Y. Li) padic Laplacian in local fields,
Nonlinear Anal. 139 (2016), 131151. pdf,
Journal
Exact Hausdorff and packing measures of Cantor sets with overlaps,
Ergodic Theory Dynam. Systems 35 (2015), no. 8, 26322668. 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, 497519. 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, 943966. pdf,
Journal
Continuity of packing measure functions of selfsimilar iterated function systems,
Ergodic Theory Dynam. Systems 32 (2012), no. 3, 11011115. pdf,
Journal
GibbsButzer derivatives over padic fields,
Appl. Anal. 90 (2011), no. 34, 545561.
Journal
(with W. Su) Distributional dimension of fractal sets in local fields,
Acta Math. Sin.(Engl. Ser.) 24 (2008), no. 1, 147158.
Journal
(with W. Su) The connection between the orders of padic calculus and the dimensions of the Weierstrass type function in local fields,
Fractals 15 (2007), no. 3, 279287.
Journal
(with Y. Li, W. Su) On Hausdorff dimension of certain Riesz product in local fields,
Anal. Theory Appl. 23 (2007), no. 2, 147161.
Journal
(with W. Su) 3adic Cantor function on local fields and its padic derivative,
Chaos Solitons Fractals 33 (2007), no. 5, 16251634.
Journal
(with W. Su) Measures and dimensions of fractal sets in local fields,
Progr. Natur. Sci (English Ed.) 16 (2006), no. 12, 12601268.
Journal
(with W. Su) Weierstrasslike functions on local fields and their padic derivatives,
Chaos Solitons Fractals 28 (2006), no. 4, 958965.
Journal
Teaching
Applied Mathematics, 20192020, 2nd semester.
Selected topics on analysis, 20192020, 2nd semester.
Useful links
MathSciNet
Arxiv
Conferences
7th Cornell conference on analysis, probability, and mathematical physics on fractals
Fractals and Related Fields IV(FARF4)