On weighted norm integral inequality of g. h. Hardy's type
K. Rauf, J. O. Omolehin (2006)
Kragujevac Journal of Mathematics
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K. Rauf, J. O. Omolehin (2006)
Kragujevac Journal of Mathematics
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Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane (2004)
Revista Matemática Complutense
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In this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x,u,∇u) = f, where A is a Leray-Lions operator from W (Ω,ω) into its dual, while g(x,s,ξ) is a nonlinear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s. The right hand side f is assumed to belong either to W(Ω,ω*) or to L(Ω).
Akgün, Ramazan, Kokilashvili, Vakhtang (2011)
Banach Journal of Mathematical Analysis [electronic only]
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Grasela, Katarzyna (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Kokilashvili, V. (1994)
Georgian Mathematical Journal
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Katsaras, A.K., Beloyiannis, A. (1999)
Georgian Mathematical Journal
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Qiufen, Feng (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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K. Rauf, C. O. Imoru (2002)
Kragujevac Journal of Mathematics
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Marek Ptak (1995)
Annales Polonici Mathematici
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We present a model for two doubly commuting operator weighted shifts. We also investigate general pairs of operator weighted shifts. The above model generalizes the model for two doubly commuting shifts. WOT-closed algebras for such pairs are described. We also deal with reflexivity for such pairs assuming invertibility of operator weights and a condition on the joint point spectrum.
Genebashvili, I., Gogatishvili, A., Kokilashvili, V. (1996)
Georgian Mathematical Journal
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Rita Giuliano Antonini, Georges Grekos (2007)
Journal de Théorie des Nombres de Bordeaux
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We introduce the concept of uniform weighted density (upper and lower) of a subset of , with respect to a given sequence of weights . This concept generalizes the classical notion of uniform density (for which the weights are all equal to 1). We also prove a theorem of comparison between two weighted densities (having different sequences of weights) and a theorem of comparison between a weighted uniform density and a weighted density in the classical sense. As a consequence, new...