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

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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

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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.

Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

Vagif Sabir Guliyev, Turhan Karaman, Rza Chingiz Mustafayev, Ayhan Şerbetçi (2014)

Czechoslovak Mathematical Journal

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In this paper, the boundedness of a large class of sublinear commutator operators T b generated by a Calderón-Zygmund type operator on a generalized weighted Morrey spaces M p , ϕ ( w ) with the weight function w belonging to Muckenhoupt’s class A p is studied. When 1 < p < and b BMO , sufficient conditions on the pair ( ϕ 1 , ϕ 2 ) which ensure the boundedness of the operator T b from M p , ϕ 1 ( w ) to M p , ϕ 2 ( w ) are found. In all cases the conditions for the boundedness of T b are given in terms of Zygmund-type integral inequalities on ( ϕ 1 , ϕ 2 ) , which...