Commit 2025-02-19 07:30 da60520f
View on Github →refactor: allow for bilinear maps of norm greater than one in Hölder's inequality and use HolderTriple
(#21792)
This PR does two things, both related to statements of Hölder's inequality:
- In the generic statements involving a general map
b : E → F → G
(which we think of as a continuous bilinear map despite the fact that these are not quite the hypotheses), we loosen the assumptions onb
so that it need not have norm bounded by 1. This makes it possible to use general continuous bilinear maps in the forthcoming #21583, and addresses the concerns in #6108. - Changes the statements to make use of the new
ENNReal.HolderTriple
type class. Among other things, this makes some existing lemmas specialized to∞
redundant, so we deprecate them. Closes #6108.