... (1.5)where the constant factor (π/λsin(π/p))2pis the best possible.At present, because of the requirement of higher-dimensional harmonic analysis and higher-dimensional operator theory, multiple ... 1998.[4] K. Jichang and L. Debnath, On new generalizations of Hilbert’s inequality and their applica-tions,” Journal of Mathematical Analysis and Applications, vol. 245, no. 1, pp. 248–265, 2000.[5] ... Inequalities, Shandong Science and Technology Press, Jinan, China, 2004.[6] B. G. Pachpatte, On some new inequalities similar to Hilbert’s inequality,” JournalofMathe-matical Analysis and Applications,...