On some classes of infinitely decomposable Sobolev-Schwartz test functions
On some properties of functions from spaces
On some properties of the functions from Sobolev-Morrey type spaces
In this paper the spaces of type Sobolev-Morrey-W p,a,г,τl(Q,G)-are constructed, the differential properties are studied and it is proved that the functions from these spaces satisfy Holder's condition, in the case, if the domain G∋R n satisfies the flexible λ-horn condition.
On some questions of topology for S1-valued fractional Sobolev spaces.
On some subspaces of Morrey-Sobolev spaces and boundedness of Riesz integrals
For 1 ≤ q ≤ α ≤ p ≤ ∞, is a complex Banach space which is continuously included in the Wiener amalgam space and contains the Lebesgue space . We study the closure in of the space of test functions (infinitely differentiable and with compact support in ) and obtain norm inequalities for Riesz potential operators and Riesz transforms in these spaces. We also introduce the Sobolev type space (a subspace of a Morrey-Sobolev space, but a superspace of the classical Sobolev space ) and obtain...
On spaces and
On spaces with mixed modulars and some spaces of temperate distributions
On the algebraic properties of the spaces
We investigate the multiplicative properties of the spaces As in the case of the classical Sobolev spaces this space does not form an algebra. We investigate instead the space , more precisely a subspace of it formed by products of solutions of the homogeneous wave equation with data in .
On the approximation of the exterior Stokes problem in three dimensions
On the boundedness of the mapping in Besov spaces
For , precise conditions on the parameters are given under which the particular superposition operator is a bounded map in the Besov space . The proofs rely on linear spline approximation theory.
On the closure of the Lizorkin space in spaces of Beppo Levi type
The purpose of this paper is to give a characterization of the closure of the Lizorkin space in spaces of Beppo Levi type. As preparations for the proof, we establish the invariance of the Lizorkin space, and give local integral representations for smooth functions.
On the complex of Sobolev spaces associated with an abstract Hilbert complex.
On the constants for some Sobolev imbeddings.
On the density of continuous functions in variable exponent Sobolev space.
On the density of smooth functions in certain subspaces of Sobolev space
On the density of smooth functions in Sobolev-Orlicz spaces.
On the Dirichlet boundary value problem for nonlinear elliptic partial differential equations in Sobolev power weight spaces
On the Dirichlet Problem for Semi-Linear Elliptic Equation with L2-Boundary Data.
On the duality between -modulus and probability measures
Motivated by recent developments on calculus in metric measure spaces , we prove a general duality principle between Fuglede’s notion [15] of -modulus for families of finite Borel measures in and probability measures with barycenter in , with dual exponent of . We apply this general duality principle to study null sets for families of parametric and non-parametric curves in . In the final part of the paper we provide a new proof, independent of optimal transportation, of the equivalence...
On the embedding