齐次Morrey-Herz空间上的一些基本不等式和插值定理

Some basic inequalities and interpolation theorems on homogeneous Morrey-Herz spaces

在齐次Morrey-Herz空间和弱齐次Morrey-Herz空间上建立了H lder,Minkowski,Young型不等式和4个插值定理,且这些基本不等式和插值定理在相应齐次Herz空间及弱齐次Herz空间上也同样成立.

The Holder, Minkowski, Young-type inequalities and 4 interpolation theorems are establis on the homogeneous Morrey-Herz spaces and weak homogeneous Morrey-Herz spaces, which are generalizations of the corresponding results on Lebesgue spaces. The same results are hold on corresponding homogeneous Herz spaces and weak homogeneous Herz spaces.