On the solvability of the weighted initial value problem for high-order evolution singular functional-differential equations.
Sokhadze, Z. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Sokhadze, Z. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Půža, B., Rabbimov, A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Kiguradze, I., Sokhadze, Z. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Liliana De Rosa, Carlos Segovia (1990)
Colloquium Mathematicae
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Dazhao Chen (2014)
Colloquium Mathematicae
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We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
Mukhigulashvili, S. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Xi Chen (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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An improved multiple Cotlar inequality is obtained. From this result, weighted norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.
Azbelev, N.V., Rakhmatullina, L.F. (1996)
Memoirs on Differential Equations and Mathematical Physics
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B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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Alexei Yu. Karlovich (2011)
Banach Center Publications
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In 1968, Gohberg and Krupnik found a Fredholm criterion for singular integral operators of the form aP + bQ, where a,b are piecewise continuous functions and P,Q are complementary projections associated to the Cauchy singular integral operator, acting on Lebesgue spaces over Lyapunov curves. We extend this result to the case of Nakano spaces (also known as variable Lebesgue spaces) with certain weights having finite sets of discontinuities on arbitrary Carleson curves.
G. Greaves (1985)
Banach Center Publications
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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