Commit 2025-02-05 09:36 6449d921
View on Github →feat(MeasureTheory/Integral/RieszMarkovKakutani) prove that the Riesz content is regular and define the Riesz measure (#20040)
Prove regularity of RieszContent
, define the Riesz measure μ Λ
and prove basic properties.
Motivation: these definitions and lemmas will be used to prove the Riesz-Markov-Kakutani theorem, characterizing μ Λ
.
In this PR, it is assumed to be NNReal-linear. In this way, the proof of the RMK theorem will be twice as long as a proof for Real
-linear Λ
because one cannot define -f
. #12290 proves the RMK theorem for real linear Λ
, using the Riesz measure defined in this PR through toNNRealLinear
.