Generalized integration operators on Analytic Tent spaces $A{T}_p^{\infty }(\hat{I}\pm )$

Abstract

In this paper, we investigate the boundedness and compactness of generalized integration operators $T_g^{n,k}$ and $S_g^{n,0}$ from analytic tent spaces $A{T}_p^{\infty }(\hat{I}\pm )$ to $A{T}_q^{\infty }({\hat{I}}^2)$ when $0<p,q<\infty ,\hat{I}\pm ,{\hat{I}}^2>-2$.

17 pages