bio | website | |
---|---|---|
location | Jyväskylä | |
age | 27 | |
visits | member for | 1 year, 10 months |
seen | Jul 19 at 10:40 | |
stats | profile views | 427 |
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? |