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Akira's user avatar
Akira
  • Member for 8 years, 2 months
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10 Answers

Score Activity Newest
4 votes

Solution of SDE at finite time, continuity of pdf

3 votes

Let $D$ be the set of those $\omega \in \Omega$ such that $f(\omega, \cdot)$ is $\mu$-integrable. Is $D$ measurable?

3 votes

A clear map of mathematical approaches to Artificial Intelligence

1 vote
Accepted

Does $L_{p}(\mu, X)^*=L_{q} (\mu, X^*)$ hold for $\sigma$-finite measure spaces?

1 vote
Accepted

Optimal transport: the existence of an optimal pair of $c$-conjugate functions

1 vote

How to construct this sequence that converges a.e. in product measure and that has a very particular form?

0 votes

Is there a modification of $f$ on a null set such that $F: [0, T] \to L^p ({\mathbb R}^d), t \mapsto f(t,\cdot)$ is Bochner measurable?

0 votes

Does a measurable $F :[0, T] \to L^p (\mathbb R^d; \mathbb R_{\ge 0})$ have a "flattened" measurable version?

0 votes
Accepted

Is there a modification of $f$ on a null set such that $F: [0, T] \to L^p ({\mathbb R}^d), t \mapsto f(t,\cdot)$ is Bochner measurable?

0 votes

Upper bound $\int_{\mathbb{R}^d \times \mathbb{R}^d} |fx)-f(y)| (1+|y|) \ell (x) p_t (x-y) \, \mathrm d x \, \mathrm d y$ in $t$