Strong solutions for a compressible fluid model of Korteweg type
Matthias Kotschote (2008)
Annales de l'I.H.P. Analyse non linéaire
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Matthias Kotschote (2008)
Annales de l'I.H.P. Analyse non linéaire
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Shakhmurov, Veli B. (2005)
Journal of Inequalities and Applications [electronic only]
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Yan Lu, Yue Ping Zhu (2014)
Czechoslovak Mathematical Journal
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We introduce a new type of variable exponent function spaces of Morrey-Herz type where the two main indices are variable exponents, and give some propositions of the introduced spaces. Under the assumption that the exponents and are subject to the log-decay continuity both at the origin and at infinity, we prove the boundedness of a wide class of sublinear operators satisfying a proper size condition which include maximal, potential and Calderón-Zygmund operators and their commutators...
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.
Dziri, M., Jelassi, M., Rachdi, L.T. (2005)
International Journal of Mathematics and Mathematical Sciences
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Rovshan A. Bandaliev (2013)
Czechoslovak Mathematical Journal
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In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the...