Degenerate differential operators with parameters.
Shakhmurov, Veli B. (2007)
Abstract and Applied Analysis
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Shakhmurov, Veli B. (2007)
Abstract and Applied Analysis
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Matthias Kotschote (2008)
Annales de l'I.H.P. Analyse non linéaire
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Dinca, George, Goeleven, Daniel, Paşca, Daniel (2006)
Portugaliae Mathematica. Nova Série
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Burenkov, Viktor I.
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Drihem, Douadi, Moussai, Madani (2006)
International Journal of Mathematics and Mathematical Sciences
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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.
Caso, Loredana, D'Ambrosio, Roberta, Monsurrò, Sara (2010)
Abstract and Applied Analysis
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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...