Category:Lipschitz Norm
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This category contains results about Lipschitz Norm.
Let $\struct {X _\mathbf A, \sigma_\mathbf A}$ be a shift of finite type.
Let $\theta \in \openint 0 1$.
Let $\map {F_\theta} {X _\mathbf A}$ be the Lipschitz space on $X _\mathbf A$.
The Lipschitz norm on $F_\theta$ is defined as:
- $\forall f \in F_\theta: \norm f_\theta := \norm f_\infty + \size f_\theta$
where:
- $\norm f_\infty$ denotes the supremum norm of $f$
- $\size f_\theta$ denotes the Lipschitz seminorm.
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