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The approximation-solvability of a generalized system of nonlinear variational inequalities (SNVI) involving relaxed pseudococoercive mappings, based on the convergence of a system of projection methods, is presented. The class of relaxed pseudococoercive mappings is more general than classes of...
Here, using the ideas of an old paper by S. Dineen (An. Acad. Brasil. Ci. 48: 11–12, 1976), we give large classes of pairs (𝑋, 𝐸) such that 𝑋 is an infinite-dimensional complex space very far from a Banach manifold, 𝐸 is a holomorphic vector bundle on 𝑋 and 𝐻 1 (𝑋,𝐸) is infinite-dimensional.
A sequence of matrices 𝑈 1 , 𝑈 2 , . . . , 𝑈 𝑚 is constructed, which satisfies the conditions 𝑈 𝑖 𝑈 𝑗 = – 𝑈 𝑗 𝑈 𝑖 (𝑖 ≢ 𝑗), . These matrices are used to construct representations of a Clifford algebra for special quadratic forms.
Necessary conditions and sufficient conditions for the boundedness/ compactness of weighted Hardy operators are established in generalized Lebesgue spaces 𝐿 𝑝(𝑥) .
It is proved that the two-sided ergodic maximal operator is one-to-one.
We consider an interior problem of statics of couple-stress elasticity for anisotropic nonhomogeneous media with friction taken into account and the corresponding exterior problem for homogeneous isotropic media. The question of the existence and uniqueness of weak solutions of these problems is...
Optimality conditions are established in terms of Lagrange–Kuhn–Tucker multipliers for multiobjective optimization problems by a scalarization technique. Throughout this note, the data are assumed to be locally Lipschitz.
We discuss some convergence and divergence properties of twodimensional (Nörlund) logarithmic means of two-dimensional Walsh–Fourier series of functions both in the uniform and in the Lebesgue norm. We give necessary and sufficient conditions for the convergence regarding the modulus of...
A new restriction for the multipliers of 𝐿 𝑝 (𝐑) to 𝐿 𝑝 (𝐓) has been introduced. Our results generalize the famous De Leeuw's theorem on the transference of Fourier multipliers between 𝐑 and 𝐓.
For , the estimate is derived, where and 𝑑 𝑛 are defined by a certain recurrent formula.
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