The study establishes inequalities for type IV superorthogonality, enhancing understanding in mathematical settings.
New converse inequalities are introduced that expand the knowledge in both vector and scalar frameworks.
Applications to various mathematical constructs can benefit from insights gained from superorthogonality findings.
The findings suggest potential improvements in studies involving inequalities in vector-valued spaces.
Resumen
Abstract We prove the direct and the converse inequalities for type IV superorthogonality in the vector‐valued setting. The converse one is also new in the scalar setting.