|
|
|
|
conjugate index
|
(Definition)
|
|
|
For $p,q \in \reals$ $1<p,q<\infty$ we say $p$ and $q$ are conjugate indices if $\frac{1}{p} + \frac{1}{q} = 1$ Formally, we will also define $q = \infty$ as conjugate to $p=1$ and vice versa.
Conjugate indices are used in the Hölder inequality and more generally to define conjugate spaces.
|
"conjugate index" is owned by CWoo. [ full author list (3) | owner history (2) ]
|
|
(view preamble | get metadata)
Cross-references: conjugate
There are 3 references to this entry.
This is version 6 of conjugate index, born on 2002-02-17, modified 2009-01-03.
Object id is 2051, canonical name is ConjugateIndex.
Accessed 4921 times total.
Classification:
| AMS MSC: | 46E30 (Functional analysis :: Linear function spaces and their duals :: Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
