A Kind of Estimate of Difference Norms in Anisotropic Weighted Sobolev-Lorentz Spaces

We investigate the functions spaces on ℝn for which the generalized partial derivatives Dkrkf exist and belong to different Lorentz spaces Λpk,sk(w), where pk>1 and w is nonincreasing and satisfies some special conditions. For the functions in these weighted Sobolev-...

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Bibliographic Details
Main Authors: Jiecheng Chen, Hongliang Li
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/161405