On the Convexity Coefficient of Orlicz Spaces.
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 dependence of the orthogonal projector on deformations of the scalar product
We consider scalar products on a given Hilbert space parametrized by bounded positive and invertible operators defined on this space, and orthogonal projectors onto a fixed closed subspace of the initial Hilbert space corresponding to these scalar products. We show that the projector is an analytic function of the scalar product, we give the explicit formula for its Taylor expansion, and we prove some algebraic formulas for projectors.
On the diametral dimension of weighted spaces of analytic germs
We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near ℝ. This implies a full isomorphic classification for these spaces including the Gelfand-Shilov spaces and for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.
On the differentiability of mappings in functional spaces
On the differentiation of integrals of functions from Lφ(L)
On the differentiation of integrals of functions from Orlicz classes
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 Djrbashian kernel of a Siegel domain
We establish an inversion formula for the M. M. Djrbashian A. H. Karapetyan integral transform (cf. [6]) on the Siegel domain , . We build a family of Kähler metrics of constant holomorphic curvature whose potentials are the -Bergman kernels, α > -1, (in the sense of Z. Pasternak-Winiarski [20] of . We build an anti-holomorphic embedding of in the complex projective Hilbert space and study (in connection with work by A. Odzijewicz [18] the corresponding transition probability amplitudes....
On the dual space .
On the dual space of
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 Dunford-Pettis property
On the Dunford-Pettis Property and Banach Spaces that Contain co.
On the embedding
On the embedding of 2-concave Orlicz spaces into L¹
In [K-S 1] it was shown that is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence so that the above expression is equivalent to a given Orlicz norm.
On the existence and regularity of solutions of linear equations in spaces