Studying elliptic measure data problem with strongly nonlinear operator whose growth is described by the means of fully anisotropic N-function, we prove uniqueness for a broad class measures. In order to provide it, framework capacities in Orlicz–Sobolev spaces developed and capacitary characterization bounded given. Moreover, give an example Young function Φ, such that | ξ p ≲ Φ ( ) log α 1 + ...

The article is an extensive review in the theory of symmetric spaces measurable functions. It contains a number new (recent) and old (known) results this field. For most results, we give their proofs or exact references, where they can be found. under consideration are Banach (or quasi-Banach) latices functions equipped with (rearrangement invariant) norm quasinorm). We consider E = E(Ω, ℱμ, μ)...

In this article we introduce some new difference sequence spaces with a real 2-normed linear space as base space and which are defined using a sequence of Orlicz functions, a bounded sequence of positive real numbers and a sequence of non-zero reals as multiplier sequence. We show that these spaces are complete paranormed spaces when the base space is a 2-Banach space and investigate these spac...