Distribution spaces associated with elliptic operators
Distribution spaces associated with elliptic operators
We study complex distribution spaces given over a bounded Lipschitz domain $\Omega$ and associated with an elliptic differential operator $A$ with $C^{\infty}$-coefficients on $\overline{\Omega}$. If $X$ and $Y$ are quasi-Banach distribution spaces over $\Omega$, then the space $X(A,Y)$ under study consists of all distributions $u\in X$ such that $Au\in Y$ …