Zulip Chat Archive

Stream: Is there code for X?

Topic: Limit of Lp norm is equal to L∞ norm


Yongxi Lin (Aaron) (Nov 13 2025 at 11:47):

i.e. limpfLp=fL\underset{p\rightarrow\infty}{\lim}\|f\|_{L^p}=\|f\|_{L^\infty}. Just to double check whether we have this result in Mathlib.

Etienne Marion (Nov 13 2025 at 12:04):

@loogle Filter.Tendsto, MeasureTheory.eLpNorm

loogle (Nov 13 2025 at 12:04):

:search: MeasureTheory.Lp.eLpNorm_lim_le_liminf_eLpNorm, MeasureTheory.Lp.eLpNorm_exponent_top_lim_le_liminf_eLpNorm_exponent_top, and 38 more

Etienne Marion (Nov 13 2025 at 12:05):

Looks like we don't have it.

Yongxi Lin (Aaron) (Nov 13 2025 at 12:15):

I am planning to make a PR then


Last updated: Dec 20 2025 at 21:32 UTC