Optimal Matching Parameters for the Inverse Hilbert-Type Integral Inequality with Quasihomogeneous Kernels and Their Applications
摘要
By using the inverse Hölder inequality and the weight function method, we establish the inverse Hilbert-type integral inequality. In the case of a quasihomogeneous kernel, we obtain necessary and sufficient conditions for the optimal matching parameters. Finally, their applications in the operator theory are discussed.