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Multi-dimensional integral transform with Fox function in kernel in Lebesgue-type spaces in the kernel in weighted spaces with integrable functions in the domain Rⁿ₊ with positive coordinates

A three-weighted Hardy-type inequality on the cone of quasimonotone functions, in the theory of function spaces it is often necessary to use such inequalities on a set of functions

Unique Solvability of a Functional-Differential Equation with Orthotropic Contractions in Weighted Spaces conditions for the solvability of such equations in weighted spaces are obtained depending on the exponent

Embedding Inequality and Duality Principle in Weighted Sobolev Spaces on the SemiaxisEmbedding Inequality and Duality Principle in Weighted Sobolev Spaces on the Semiaxis

Kernel operators with variable intervals of integration in lebesgue spaces and applications,∞) boundary functions a(x) and b(x) are obtained for 1< p < q < ∞ and 0 < q < p < ∞, p >

On boundedness of a certain class of hardy–steklov type operators in lebesgue spaces weight functions v, w and a positive continuous kernel k(x, y) satisfying some growth conditions.

Alternative criteria for the boundedness of volterra integral operators in lebesgue spaces integrable weight functions w, v and a non-negative kernel k(x,y) satisfying Oinarov's condition for each

Theory of generalized Bessel potential space and functional completionThe articles objective is to present norms based on weighted Dirichlet integrals in the space

Inequalities for Hardy type operators on the cone of decreasing functions from a weighted Orlicz space decreasing functions in a weighted Orlicz space with a common weight and a common Young function. We

A Hardy inequality with a point-singular weight inside a domainSobolev spaces with weights taking infinite values at some interior points of a two

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