Real functions Limits and continuity Concept
Hölder continuity
Summary
A map between metric spaces is Hölder continuous with exponent when for some constant and all . For this is the Lipschitz condition.
Where this leads
34 pages build on this one.
- Morrey–Campanato space
- De Giorgi–Nash–Moser theorem
- Index of a singular integral operator
- Céa's lemma
- Matrix Riemann–Hilbert problem
- Krylov–Safonov estimate
- Rough path
- Vanishing mean oscillation
- Gagliardo–Nirenberg interpolation inequality
- Lax–Milgram theorem
- Minimum total potential energy principle
- Singular integral equation
- Direct and inverse theorems of approximation
- Jean Taylor's theorem on soap film singularities
- Sobolev inequality
- Hölder space
- Sokhotski–Plemelj formulae
- Noether theorems for singular integral equations
- Sobolev embedding theorem
- Bernstein's theorem on inverse approximation
- Hardy–Littlewood–Sobolev inequality
- Schauder estimates
- Lipschitz class
- Poincaré inequality
- Gibbs measure
- Galerkin method
- Bernstein's theorem on absolutely convergent Fourier series
- Allard regularity theorem
- Hadamard finite part
- Ladyzhenskaya–Babuška–Brezzi condition
- Kolmogorov continuity theorem
- Rellich–Kondrachov theorem
- Regularity of minimizers
- Morrey's inequality
Further reading
- Web https://en.wikipedia.org/wiki/H%C3%B6lder_condition, lead section
About this page
| Tag | 012PBA0FMD |
|---|---|
| URI | m2://012PBA0FMD |
| Aliases | holder-condition, holder-continuous-map |
| Kind | concept |
| Writing | W1 stated |
| MSC | 26A16 |
| Specializes | Uniform continuity |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
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What links here
Definitions
Used by
- Morrey–Campanato space
- De Giorgi–Nash–Moser theorem
- Index of a singular integral operator
- Matrix Riemann–Hilbert problem
- Krylov–Safonov estimate
- Rough path
- Singular integral equation
- Direct and inverse theorems of approximation
- Jean Taylor's theorem on soap film singularities
- Hölder space
- Sokhotski–Plemelj formulae
- Noether theorems for singular integral equations
- Sobolev embedding theorem
- Bernstein's theorem on inverse approximation
- Schauder estimates
- Lipschitz class
- Gibbs measure
- Bernstein's theorem on absolutely convergent Fourier series
- Allard regularity theorem
- Hadamard finite part
- Kolmogorov continuity theorem
- Regularity of minimizers
- Morrey's inequality