To study convolution algebras, Beurling in [4] first introduced some spaces of functions which are now called the Beurling algebras. Later Herz in [19] generalized these function spaces to further study the properties of functions. These generalized spaces of functions are just the prototype of Herz spaces. Since then, the theory of Herz spaces has been significantly developed and these spaces have turned out to be very useful in analysis. An interesting account with many applications for the generalized Herz spaces in some particular cases is given in [2]. In particular, in [18] the authors of this paper characterized the intermediate spaces obtained by the complex method of interpolation for the families of Herz spaces and gave many interesting applications.
展开▼
