Displaying similar documents to “On boundedness of weighted Hardy operator in L p ( · ) and regularity condition.”

The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces

Rovshan A. Bandaliev (2010)

Czechoslovak Mathematical Journal

Similarity:

The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.

Some notes on embedding for anisotropic Sobolev spaces

Hongliang Li, Quinxiu Sun (2011)

Czechoslovak Mathematical Journal

Similarity:

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.