The embeding theorems of Sobolev space with Chebyshev weight

In recent years, because of the higher accuracy and possibility of using the FFT, the Chebyshev spectral method and pseudospectral method have been paled attention to the solving partial differenUal equations with numerical value [1]-[3].The embeding theorem of Sobolev space with Chebyshev weigh is aframe work of great importance for this kind of problems. Nowadays some papers on this theme have been published [1], [4], but no systematic work has been done up to now.This paper intends to give a series of embeding theorems similar to the case of no weights.