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mm-aops
  • Member for 9 years, 2 months
  • Last seen more than 3 years ago
6 votes
2 answers
248 views

simple way to show $|| \partial_x \int_{B(x,\epsilon)} \frac{x-y}{|x-y|^3} f(y) dy||_{\infty} = O(||f||_{\infty})$ in $\mathbb{R}^3$

5 votes
1 answer
259 views

uniqueness of groups in an exact sequence

4 votes
2 answers
877 views

uniform integrability of a squared sum of iid variables

4 votes
1 answer
3k views

function a.e. differentiable and it's weak derivative

4 votes
0 answers
1k views

mid-point convex but not a.e. equal to a convex function

3 votes
0 answers
67 views

cut-off functions and irregular domains

3 votes
0 answers
99 views

if $\Delta u = |\nabla u|^{3/2}$ then $u \in C^{\infty}$

3 votes
2 answers
164 views

Show that $\int_{(0,1)\times (0,1)} \frac{1}{1-xy} dxdy = \sum_{n=1}^{\infty} \frac{1}{n^2}$

3 votes
3 answers
277 views

$\sum a_i \ln(b_i) \leq \sum a_i \ln(a_i)$ with $\sum a_i = \sum b_i = 1$

2 votes
1 answer
67 views

estimate on $| \nabla (u |u|^2) - \nabla(w|w|^2)|$ for $u,w \in H^1$

2 votes
0 answers
58 views

literature to learn more on ergodic harris recurrent chains with an atom

2 votes
1 answer
228 views

$L^1$ convergence in something like law of large numbers - what assumptions do we need?

2 votes
2 answers
3k views

Inverse Laplace operator $\Delta^{-1}$ and Sobolev spaces

2 votes
1 answer
126 views

Show that a distributional solution of $\Delta u = f u $ is smooth for smooth $f$

1 vote
1 answer
96 views

Counterexample for existence of a minimiser in a variational problem

1 vote
1 answer
96 views

Holder continuity of $\frac{x}{|x|^3} \ast f$ with $f \in C^1_0$ in $\mathbb{R}^3$

1 vote
1 answer
400 views

estimating a convolution type maximal function

1 vote
1 answer
143 views

continuity equation for measures from a purely mathematical point view

1 vote
0 answers
54 views

Reconstructing a measure from its (absolutely continuous) marginals

1 vote
0 answers
83 views

Invertible element of the Paley-Wiener space

1 vote
1 answer
160 views

$\sup \sum a_i \ln(b_i)$ with $\sum a_i = \sum b_i =1$

1 vote
1 answer
191 views

compactness of the set of invariant measures

1 vote
0 answers
87 views

strong maximum principle for $u$ such that $u'' \geq c(x)u$

1 vote
3 answers
152 views

Field extensions - if $(E : F) = n$ then $(E(x) : F(x)) = n$ [duplicate]

1 vote
0 answers
43 views

find a probability measure such that $(W_t + \sqrt{3t+2})_t$ is a Wiener process wrt to $P$

1 vote
1 answer
61 views

if $f$ is in weak $L^p$ and $\phi$ is $C_0^{1}$ then $f \ast \phi$ is in weak $L^p$

1 vote
1 answer
150 views

Reference for $f \in L^{p,\infty} \cap L^{q}$ then $f \in L^r$ for $p < r \leq q$

1 vote
1 answer
2k views

negative Sobolev space contains $L^1$ for a compact domain

0 votes
2 answers
69 views

estimating $L^p$ norm of $\frac{x}{|x|^3} \ast (-\text{div}_x \ldots)$

0 votes
1 answer
107 views

shrinking an open domain with a smooth boundary - what is the new boundary?