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Let $\alpha\in ]0,1[,k\in\mathbb{N}.$Let $\Omega$ be a open and bounded subset or $\mathbb{R}^n$ of class $C^{k+\alpha}$.

As one could find in G.M. Troianello "Elliptic Differential Equations and Obstacles Problems" (lem. 1.5) there exists a linear and continuos extension operator of $C^{k+\alpha}(\partial\Omega)$ to $C^{k+\alpha}(\bar B)$, with $B$ an open ball of $\mathbb{R}^N$ containing $\bar\Omega$.

I need a similar result for parabolic Hölder spaces.

I mean, there exists a linear and continuos extension operator of $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\partial\Omega)$ to $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\bar B)$, with $B$ an open ball containing $\bar\Omega$?

Let $\alpha\in ]0,1[,k\in\mathbb{N}.$Let $\Omega$ be a open and bounded subset or $\mathbb{R}^n$ of class $C^{k+\alpha}$.

As one could find in G.M. Troianello "Elliptic Differential Equations and Obstacles Problems" (lem. 1.5) there exists a linear and continuos extension operator of $C^{k+\alpha}(\partial\Omega)$ to $C^{k+\alpha}(\bar B)$, with $B$ open ball of $\mathbb{R}^N$ containing $\bar\Omega$.

I need a similar result for parabolic Hölder spaces.

I mean, there exists a linear and continuos extension operator of $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\partial\Omega)$ to $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\bar B)$, with $B$ open ball containing $\bar\Omega$?

Let $\alpha\in ]0,1[,k\in\mathbb{N}.$Let $\Omega$ be a open and bounded subset or $\mathbb{R}^n$ of class $C^{k+\alpha}$.

As one could find in G.M. Troianello "Elliptic Differential Equations and Obstacles Problems" (lem. 1.5) there exists a linear and continuos extension operator of $C^{k+\alpha}(\partial\Omega)$ to $C^{k+\alpha}(\bar B)$, with $B$ an open ball containing $\bar\Omega$.

I need a similar result for parabolic Hölder spaces.

I mean, there exists a linear and continuos extension operator of $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\partial\Omega)$ to $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\bar B)$, with $B$ an open ball containing $\bar\Omega$?

Let $\alpha\in ]0,1[,k\in\mathbb{N}.$Let $\Omega$ be a open and bounded subset or $\mathbb{R}^n$ of class $C^{k+\alpha}$.

As one could find in G.M. Troianello "Elliptic Differential Equations and Obstacles Problems" (lem. 1.5) there exists a linear and continuos extension operator of $C^{k+\alpha}(\partial\Omega)$ to $C^{k+\alpha}(\bar B)$, with $B$ an open ball of $\mathbb{R}^N$ containing $\bar\Omega$.

I need a similar result for parabolic Hölder spaces.

I mean, there exists a linear and continuos extension operator of $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\partial\Omega)$ to $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\bar B)$, with $B$ an open ball containing $\bar\Omega$?

sLet $\alpha\in ]0,1[,k\in\mathbb{N}.$Let $\Omega$ be a open and bounded subset or $\mathbb{R}^n$ of class $C^{k+\alpha}$.

As one could find in G.M. Troianello "Elliptic Differential Equations and Obstacles Problems" (lem. 1.5) there exists a linear and continuos extension operator of $C^{k+\alpha}(\partial\Omega)$ to $C^{k+\alpha}(\bar B)$, with $B$ an open ball containing $\bar\Omega$.

I need a similar result for parabolic Hölder spaces.

I mean, there exists a linear and continuos extension operator of $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\partial\Omega)$ to $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\bar B)$, with $B$ an open ball containing $\bar\Omega$?

Let $\alpha\in ]0,1[,k\in\mathbb{N}.$Let $\Omega$ be a open and bounded subset or $\mathbb{R}^n$ of class $C^{k+\alpha}$.

As one could find in G.M. Troianello "Elliptic Differential Equations and Obstacles Problems" (lem. 1.5) there exists a linear and continuos extension operator of $C^{k+\alpha}(\partial\Omega)$ to $C^{k+\alpha}(\bar B)$, with $B$ an open ball containing $\bar\Omega$.

I need a similar result for parabolic Hölder spaces.

I mean, there exists a linear and continuos extension operator of $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\partial\Omega)$ to $C^{\frac{k+\alpha}{2};k+\alpha}([0,T]\times\bar B)$, with $B$ an open ball containing $\bar\Omega$?