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$x^\alpha$ as an example of an $\alpha$-Hölder continuous function

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#real-analysis #functions #continuity #holder-spaces
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Prove a function is Hölder continuous but not Lipschitz continuous

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#real-analysis #analysis #continuity #lipschitz-functions #holder-spaces
158
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Schauder regularity

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#partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #holder-spaces
105
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estimate Holder norm via integral inequality

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#real-analysis #geometric-measure-theory #holder-spaces
1k
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Reference on Sobolev-Slobodeckij spaces

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#sobolev-spaces #normed-spaces #holder-spaces #fractional-sobolev-spaces
76
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Compact ball in a closed subspace of X

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#functional-analysis #continuity #compactness #holder-spaces
64
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Show that if $|\hat{f}(n)|\le\frac{C}{|n|^{1+\alpha}}(n\ne0),\alpha\in(0,1)$ and $f\in C(T)$

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#fourier-series #holder-spaces
691
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Definition of Hölder Space on Manifold

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#partial-differential-equations #manifolds #holder-spaces
435
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Sharpness of Kolmogorov-Chentsov

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#probability #probability-distributions #stochastic-processes #brownian-motion #holder-spaces
37
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Limit of function in $H^1(\mathbb{R}_+;\mathbb{C})$

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#calculus #sobolev-spaces #holder-spaces
400
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Bounded and Continuous but not Holder

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#real-analysis #continuity #holder-spaces
2.1k
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Sobolev, Holder, Lp spaces continuous and compact embeddings proof

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#functional-analysis #sobolev-spaces #lp-spaces #weak-convergence #holder-spaces
3.9k
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Interpolation inequality on Holder space

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#real-analysis #functional-analysis #interpolation #holder-spaces
132
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Uniformly Bounded in a Schauder Norm

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#functional-analysis #normed-spaces #holder-spaces #functional-inequalities
112
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the continuous functions with norm

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#real-analysis #general-topology #distribution-theory #holder-spaces

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