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Displaying similar documents to “A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces.”

Some notes on embedding for anisotropic Sobolev spaces

Hongliang Li, Quinxiu Sun (2011)

Czechoslovak Mathematical Journal

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In this paper, we prove new embedding theorems for generalized anisotropic Sobolev spaces, W Λ p , q ( w ) r 1 , , r n and W X r 1 , , r n , where Λ p , q ( w ) is the weighted Lorentz space and X is a rearrangement invariant space in n . The main methods used in the paper are based on some estimates of nonincreasing rearrangements and the applications of B p weights.

On local properties of functions and singular integrals in terms of the mean oscillation

Rahim Rzaev, Lala Aliyeva (2008)

Open Mathematics

Similarity:

This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their mean oscillation. The conditions guaranteeing existence of a derivative in the L p-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered.