Skip to main content
MathOverflow
Akira's user avatar
Akira's user avatar
Akira's user avatar
Akira
  • Member for 8 years, 2 months
  • Last seen this week
  • Japan
Profile Activity

535 Actions

All Accepts Posts Badges Comments Revisions Reviews Suggestions
comment
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 $t$
Thank you very much for your detailed answer. The example of $f$ is very illustrative in showing that $h \downarrow 0$ could not make $H(z) \downarrow 0$. This problem is due to the discontinuity of $f$. The smaller $\delta$, the more severe the discontinuity of $f$.
answered
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 $t$
revised
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 $t$
added 77 characters in body
accepted
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 $t$
revised
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 $t$
edited title
revised
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 $t$
added 150 characters in body
revised
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 $t$
added 37 characters in body
revised
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 $t$
added 19 characters in body
asked
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 $t$
comment
Sequential compactness of a sequence of curves of Borel probability measures
@Asaf I am willing to assume such a continuity condition. Please see my edit.
revised
Sequential compactness of a sequence of curves of Borel probability measures
added 253 characters in body
revised
Sequential compactness of a sequence of curves of Borel probability measures
added 1 character in body
asked
Sequential compactness of a sequence of curves of Borel probability measures
asked
Stability of Hölder constants of frozen Itô stochastic integrals
accepted
Is there $\varepsilon \in (0, 1)$ such that $\sup_{t \in [0, \varepsilon]} [\ell_t]_\beta < \infty$?
asked
Is there $\varepsilon \in (0, 1)$ such that $\sup_{t \in [0, \varepsilon]} [\ell_t]_\beta < \infty$?
comment
Sobolev spaces and geometry
@BenMcKay It seems the link to your PDE notes is broken. Could you please fix it?
awarded
 Self-Learner
comment
Approximate a non-negative function which is measurable in product $\sigma$-algebra
This is very elegant! Thank you so much for your help!
accepted
Approximate a non-negative function which is measurable in product $\sigma$-algebra
1
…
3 4
5
6 7
…
27