435 reputation
19
bio website
location Jyväskylä
age 27
visits member for 1 year, 10 months
seen Jul 19 at 10:40

I am a post-doctoral researcher at University of Jyväskylä. My research interest is geometric function theory and analysis on metric spaces.


Jul
2
awarded  Curious
Apr
30
comment Is this property equivalent to Lusin's property (N) for continuous functions?
Could you please point out which book of Saks you referred to?
Apr
30
revised A question on density of Lipschitz functions in weighted Sobolev spaces
added 2 characters in body
Apr
30
comment A question on density of Lipschitz functions in weighted Sobolev spaces
Sorry for the confusion, I changed my notation to a more standard one.
Apr
29
asked A question on density of Lipschitz functions in weighted Sobolev spaces
Mar
25
answered Jacobian of an injective mapping
Mar
24
revised How many ways do we have to prove that a mapping is open?
added 397 characters in body
Mar
11
comment Is the multiplicity of a Sobolev mapping alwasys locally essentially bounded?
To Fernando Muro:Ifeel like one needs some topological assumption for $f$ to ensure that one can prove such a result. On the other hand, to prove such a result, one needs to use degree theory or other more algebraic topological concept. That is why I add this label.
Mar
11
asked Is the multiplicity of a Sobolev mapping alwasys locally essentially bounded?
Mar
6
comment How many ways do we have to prove that a mapping is open?
To ACL: the result you mentioned is the invariance of the domain, which is a simply application of degree theory. Here I am looking for more analytic assumptions on $f$, instead of strong topological assumptions, like you mentioned local injectivity.
Mar
6
revised How many ways do we have to prove that a mapping is open?
added 10 characters in body
Feb
28
answered Quasiconformal extensions of diffeomorphisms
Feb
28
accepted Is there a direct proof of the following real analysis fact?
Feb
28
revised Is there a direct proof of the following real analysis fact?
added 1 characters in body
Feb
28
asked Is there a direct proof of the following real analysis fact?
Jan
5
comment quasiconformal across the real line
As I mentioned above, the reason for $f(x)=xsin(1/x)$ (when defined to be 0 at 0 to make it continuous) fails to be AC is that $f$ is not a function of bounded variation since it oscilate too much around the point zero.
Jan
5
answered quasiconformal across the real line
Dec
23
awarded  Critic
Dec
22
comment Does anyone know what is the right reference for the following simple lemma from harmonic analysis?
To Benjamin Dickman: thank you very much and I will check that paper.
Dec
21
comment A problem related to connectivity of analytic functions
Could you please remind me how does one prove $f(\mathbb{D})$ is 1 when $f(z)$ is proper?