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Nov
14 |
awarded | Yearling |
Dec
26 |
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 |