779 reputation
311
bio website
location Jyväskylä
age 27
visits member for 2 years, 3 months
seen 1 hour ago

I am a post-doctoral researcher at University of Jyväskylä. My research interest is geometric function theory, analysis on metric spaces, inverse problems in the plane and metric geometry.


8h
awarded  Enthusiast
Dec
7
comment Prove a function, defined by integration of a harmonic function, is log-convex
You can find both answers to your question in the pdf. This site is usually for real research problem or philosophy of some important results, or references request.
Dec
6
answered Prove a function, defined by integration of a harmonic function, is log-convex
Dec
4
revised Question regarding to approximate continuity
added 803 characters in body
Dec
4
comment Question regarding to approximate continuity
I think there should be a simple counter-example to your first question, but I cannot write down it explicitly yet. I will add it later. All the concepts of approximate (limits,continuity,differentiability, ...) just means that in the limiting case, the set where f fails the property has measure zero. In principle, this means at arbitrary small scale, bad sets can have smaller portion.
Dec
4
answered Question regarding Laplace equation under Evans setting
Dec
4
answered Question regarding to approximate continuity
Dec
3
answered Compactly supported functions and Sobolev spaces on manifolds
Dec
1
comment Properly Discontinuous Action
Why not accept Theo's answer? I think it is really useful.
Nov
30
revised Poincare-like inequality on compact Riemannian manifolds
briefly explain your changes (corrected spelling, fixed grammar, improved formatting)
Nov
30
answered Poincare-like inequality on compact Riemannian manifolds
Nov
27
answered Axiomatization of Degree Theory
Nov
26
answered Absolutely continuous functions
Nov
14
comment A good reference for uniformization theorem for compact and non-compact Riemann surface
To Tommasco: Thanks very much. I haven't check the book you mentioned. I really want to find a relatively accessible proof for a presentation.
Nov
14
accepted A good reference for uniformization theorem for compact and non-compact Riemann surface
Nov
13
comment A good reference for uniformization theorem for compact and non-compact Riemann surface
To Koushik: do you mean in his book, there is a nice proof of the uniformization theorem? If so, could you please give me more information on the book, such as authors, name of the book, publication year...
Nov
13
asked A good reference for uniformization theorem for compact and non-compact Riemann surface
Nov
12
comment Uniformization theorem for Riemann surfaces
To Ilya Nikokoshev: why the $\pi_2$ is non-trivial implies that it is a sphere?
Oct
8
asked Is this a “new” terminology in homology/cohomology theory?
Sep
30
comment Gromov's list of 7 constructions in differential topology
I like this note, thanks!