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
On the existence and uniqueness of integrable solutions of functional equations in Banach space.
On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
On the existence of continuous modifications of vector-valued random fields.
On the existence of exactly one solution of integral equations in the space with a mixed norm
On the existence of Schauder bases in Sobolev spaces
On the Existence of Sub-Markovian Resolvents.
On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.