### All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
 Necessary and Sufficient Conditions and Optimal Constant Factors for the Validity of Multiple Integral Half-Discrete Hilbert Type Inequalities with a Class of Quasi-Homogeneous Kernels Bing He,Yong Hong,Bicheng Yang Keywords:Quasi homogeneous kernel, half-discrete Hilbert type inequality, equivalence condition, best constant factor, boundedness of operator. Abstract: The problem of equivalence parameters and the best constant factor for the existence of quasi-homogeneous half-discrete Hilbert type inequality $$\int_{\mathbb{R}_{+}^{m}} \sum_{n=1}^{\infty} G\left( n^{\lambda_1}/ \|x\|^{\lambda_2}_{\rho}\right) a_{n} f(x) \mathrm{d} x \leq M\|\tilde{a}\|_{p, \alpha}\|f\|_{q, \beta}$$ is discussed, and their applications in the study of operator boundedness and norm are also considered.