Sharp Maximal Inequalities and Its Application to Some Bilinear Estimates

摘要

In this note we establish the sharp maximal inequalities for Herz spaces and Morrey spaces by use of good λ-inequality. As an application, we obtain estimates of some bilinear forms which include usual product of functions and the nonlinear term of Euler and Navier-Stokes equations on Herz spaces and Morrey spaces.