Generalized integration operators on Analytic Tent spaces $AT_p^\infty(\alpha)$

TL;DR

This paper studies the boundedness and compactness of generalized integration operators between analytic tent spaces, extending understanding of operator behavior in these function spaces.

Contribution

It introduces new results on the boundedness and compactness criteria for generalized integration operators on analytic tent spaces.

Findings

Characterization of boundedness conditions for $T_g^{n,k}$ and $S_g^{n,0}$

Criteria for compactness of these operators

Extension of operator theory in analytic tent spaces

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 $AT_p^\infty(\alpha)$ to $AT_q^\infty(\beta)$ when $0<p,q<\infty,\alpha,\beta>-2$.