682 reputation
313
bio website sites.google.com/site/…
location Haifa, Israel
age
visits member for 2 years, 1 month
seen Apr 2 at 20:58
Post-Doctoral Researcher at the Technion. Interested in PDE, Calc. of Var., Sobolev Space, GMT, and now Harmonic Analysis.

1d
awarded  Popular Question
Nov
14
awarded  Yearling
Sep
24
awarded  Autobiographer
Nov
15
comment Alternative representations of Sobolev space
Aha! I have regained my account! So the answer is yes, and I can send you a preprint if you are interested to the development. I perfectly well understand what you are saying, and the notion is quite interesting.
Nov
14
awarded  Yearling
Jun
25
awarded  Revival
Jun
25
awarded  Promoter
May
28
answered Is BV2 space closed in L2 space?
Apr
25
comment variational characterization of the average of an $L^p$ function
Try taking the derivative of $f(c):=\int_\Omega |u-c|^p\;d\mu$, and then think about justifying it later (dominated convergence, etc). Then you can see why $c$ should be the average of $u$ when $p=2$, and what you might expect otherwise.
Apr
25
accepted Optimality of p-Lebesgue Differentiation Theorem for Sobolev Functions
Apr
24
comment A suitable Sobolev-type space
In general, the $L^\infty$ norm can be controlled by the Sobolev norm within the right parameters, but the converse cannot be true. Sobolev functions have some nice properties of the derivatives, but $L^\infty$ (even continuous, H$\"o$lder continuous) can have pathologically bad derivatives.
Apr
22
revised Optimality of p-Lebesgue Differentiation Theorem for Sobolev Functions
deleted 562 characters in body; edited title
Apr
21
revised Optimality of p-Lebesgue Differentiation Theorem for Sobolev Functions
deleted 13 characters in body
Apr
19
revised Optimality of p-Lebesgue Differentiation Theorem for Sobolev Functions
too many functions named f
Apr
19
asked Optimality of p-Lebesgue Differentiation Theorem for Sobolev Functions
Apr
17
accepted Finding a good ordering of $\mathbb{Q}$
Apr
17
comment Finding a good ordering of $\mathbb{Q}$
Thanks for the reference Sean. What I want to prove is false! Great to know now :)
Apr
17
asked Finding a good ordering of $\mathbb{Q}$
Apr
14
awarded  Organizer
Apr
1
comment A question on optimal Sobolev inequality.
Symmetrization and ODE analysis.