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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
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
The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate
The N-widths of Hardy-Sobolev spaces of several complex variablesThe N-widths of Hardy-Sobolev spaces of several complex variables
A Spectral Sobolev Problem for the Biharmonic Operator extension. More precisely, we show that the Friedrichs extension is a Sobolev problem with boundary
A Spectral Sobolev Problem for the Biharmonic Operator and the Friedrichs extension. More precisely, we show that the Friedrichs extension is a Sobolev problem
SOBOLEV SPACES OF SOLENOIDAL VECTOR-FIELDSSOBOLEV SPACES OF SOLENOIDAL VECTOR-FIELDS
ON THE SYMBOL OF NONLOCAL OPERATORS ASSOCIATED WITH A PARABOLIC DIFFEOMORPHISM of spheres and we show, that if for some smoothness exponent of the Sobolev space the symbol of an operator
Regularity of the inverse of a homeomorphism of a Sobolev–Orlicz space of Sobolev–Orlicz spaces defined by a special class of N-functions. Using these results, we establish
Ellipticity of Operators Associated with Morse–Smale Diffeomorphisms of this algebra are considered as operators in the scale of Sobolev spaces, and the aim of this paper
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