A Hilbert-Type Linear Operator with the Norm and Its Applications

作者:Zhong; Wuyi
来源:Journal of Inequalities and Applications, 2009, 2009(1): 494257.
DOI:10.1155/2009/494257

摘要

A Hilbert-type linear operator T : l(phi)(p) -> l(psi)(p). is defined. As for applications, a more precise operator inequality with the norm and its equivalent forms are deduced. Moreover, three equivalent reverses from them are given as well. The constant factors in these inequalities are proved to be the best possible.