On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is ...
Omar Benslimane +2 more
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Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions [PDF]
, 2002 summary:In [6], the classical Riesz representation theorem is extended to the class of Besicovitch space of almost periodic functions $B^{q}$\,a.p., $q\in ] 1,+\infty [$ . It is also shown that this space is reflexive. We shall consider here such results
Boulahia, F., Morsli, M., Bedouhene, F.
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Vigelis, Rui F., Cavalcante, Charles C.
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Dual spaces to Orlicz–Lorentz spaces [PDF]
Studia Mathematica, 2014 25 ...
Kamińska, Anna +2 more
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On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz nor [PDF]
, 2003 The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm.
Morsli, Mohamed, Bedouhene, Fazia
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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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Inclusion Properties of Orlicz and Weak Orlicz Spaces
Journal of Mathematical and Fundamental Sciences, 2016 10 ...
Al Azhary Masta +2 more
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On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions [PDF]
, 1997 summary:We investigate some convergence questions in the class of Besicovitch-Orlicz spaces of vector valued functions. Next, the existence problem of the projection operator on closed convex subsets is considered in the class of almost periodic ...
Morsli, Mohamed
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Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces
Journal of Inequalities and Applications, 2018 We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator.
Charu Sharma +3 more
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The Banach-Saks Properties in Orlicz-Lorentz Spaces
Abstract and Applied Analysis, 2014 The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
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