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摘要
We investigate the functions spaces on R(n) for which the generalized partial derivatives D(k)(rk) f exist and belong to different Lorentz spaces Lambda(pk,sk)(w), where p(k) > 1 and w is nonincreasing and satisfies some special conditions. For the functions in these weighted Sobolev-Lorentz spaces, the estimates of the Besov type norms are found. The methods used in the paper are based on some estimates of nonincreasing rearrangements and the application of B(p), B(p,infinity) weights.
- 出版日期2009
- 单位浙江大学
