Weighted Morrey-Herz spaces and applications.
Kuang, Jichang (2010)
Applied Mathematics E-Notes [electronic only]
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Kuang, Jichang (2010)
Applied Mathematics E-Notes [electronic only]
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Chen, Jiecheng, Li, Hongliang (2009)
Journal of Inequalities and Applications [electronic only]
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Tao, Xiangxing, Yu, Xiao, Zhang, Songyan (2008)
Journal of Inequalities and Applications [electronic only]
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Wei, Ruiying, Li, Yin (2011)
Journal of Inequalities and Applications [electronic only]
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Mashiyev, Rabil A., Çekiç, Bilal, Ogras, Sezai (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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.
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, and , where is the weighted Lorentz space and is a rearrangement invariant space in . The main methods used in the paper are based on some estimates of nonincreasing rearrangements and the applications of weights.