摘要： In we introduced spaces Lρ (φ), Eρ(φ). In this paper we shall take the Lρ(φ)-norm in stead of Lρ-norm in the Spaces Bp,q(r), then we get the spaces Bp,q(r)(φ). we prove a trace theorem of the spaces Bp,q(r)(φ) and we can apply this method to the estimate of difference method of the initial problem.