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[Merged by Bors] - feat(measure_theory/lp_space): extend the definition of Lp seminorm to p ennreal #5808

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@RemyDegenne RemyDegenne commented Jan 19, 2021

Rename the seminorm with real exponent to snorm', introduce snorm_ess_sup for L\infty, equal to the essential supremum of the norm.


@RemyDegenne RemyDegenne added the awaiting-review The author would like community review of the PR label Jan 19, 2021
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This looks great, thanks!

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⟨ae_measurable.const_smul hf.1 c,
lt_of_le_of_lt (le_of_eq (snorm_const_smul hf.1 c)) (ennreal.mul_lt_top ennreal.coe_lt_top hf.2)⟩

lemma snorm'_smul_le_mul_snorm' [measurable_space 𝕜] [opens_measurable_space 𝕜] {q r : ℝ}
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This one probably has an snorm version, but this can wait for later.

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bors r+
Thanks!

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Jan 19, 2021
bors bot pushed a commit that referenced this pull request Jan 19, 2021
…o p ennreal (#5808)

Rename the seminorm with real exponent to `snorm'`, introduce `snorm_ess_sup` for `L\infty`, equal to the essential supremum of the norm.
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bors bot commented Jan 19, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(measure_theory/lp_space): extend the definition of Lp seminorm to p ennreal [Merged by Bors] - feat(measure_theory/lp_space): extend the definition of Lp seminorm to p ennreal Jan 19, 2021
@bors bors bot closed this Jan 19, 2021
@bors bors bot deleted the snorm_update branch January 19, 2021 23:20
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