In this talk, we mainly consider the cauchy problem of linear backward stochastic partial differential equations in H\"{o}lder spaces.
\begin{equation*}
\left\{
\begin{split}
-du(t,x)=&\big[a_{ij}(t,x)\partial^2_{ij} u(t,x)+b_i(t,x)\partial_i u(t,x)+c(t,x)u(t,x)+f(t,x)\\
&+\sigma(t,x)v(t,x)\bigr]\,dt -v(t,x)\,dW_t,\quad (t,x)\in [0,T]\times\mathbb{R}^n,\\
u(T,x)=&\Phi(x), \quad x\in\mathbb{R}^n,
\end{split}
\right.
\end{equation*}
We define some H\"{o}lder spaces with functionals taking value in Banach spaces, and prove the existence and uniqueness result of the solution in H\"{o}lder space. Moreover, we prove that the solution of the linear BSPDEs is $C^{2+a}\times C^a$-H\"{o}lder continuous when the terminal condition $\Phi$ is $C^{1+a}$-H\"{o}lder continuous
and free term $f$ is $C^a$, which is sharp even in deterministic PDEs.