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Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous GroupsWe define Euler–Hilbert–Sobolev spaces and obtain embedding results on homogeneous groups using
Sobolev Spaces of Functions on a Hilbert Space Endowed with a Shift-Invariant MeasureSobolev Spaces of Functions on a Hilbert Space Endowed with a Shift-Invariant Measure
Estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space Sobolev space. It is shown that, under a suitable choice of the sequence of multi-indices, interpolation
Estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space Sobolev space. It is shown that, under a suitable choice of the sequence of multi-indices, interpolation
Application of Riemann–Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free EdgesApplication of Riemann–Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space groups in a Hilbert space. For this, the phase space is equipped with a measure that is invariant under a
Implicit Euler scheme for an abstract evolution inequalityFor a triple {V, H, V*} of Hilbert spaces, we consider an evolution inclusion of the form u
Necessary and sufficient conditions of compactness of certain embeddings of Sobolev spaces < l the embedding W∞l ⊂ W∞m(Ω) is compact, where W∞m(Ω) is the Sobolev space and W
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