Daniel Spector
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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