Essential Norm of <i>t</i>-Generalized Composition Operators from <i>F</i>(<i>p</i>, <i>q</i>, <i>s</i>) to Iterated Weighted-Type Banach Space

Abstract

In this work, we characterize the boundedness of t-generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. We also provide estimates of the norm and the essential norm of t-generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. As corollaries, we obtain approximations of the essential norm of integral operators and generalized composition operators from F(p, q, s) spaces to iterated weighted-type Banach space. Moreover, we conclude our work by discussing the t-generalized composition operators and the special cases of F(p, q, s).

Keywords

• <i>F</i>(<i>p</i>, <i>q</i>, <i>s</i>)
• iterated weighted-type Banach space
• <i>t</i>-generalized composition operators
• essential norm