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 + ...

An old problem of P. Levy is to characterize those Banach spaces which embed isometrically in Lp. We show a new criterion in terms of the second derivative of the norm. As a consequence we show that, if M is a twice differentiable Orlicz function with M (0) = M (0) = 0, then the n-dimensional Orlicz space l M , n ≥ 3 does not embed isometrically in Lp with 0 < p ≤ 2. These results generalize an...

We provide sufficient conditions for boundary Hardy inequality to hold in bounded Lipschitz domains, complement of a point (the so-called inequality), domain above the graph function, fractional Orlicz-Sobolev setting. As consequence, we get regional Orlicz Poincar\'e domains. Necessary and inequalities are also given Various on open sets provided hold.

The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.

In this article we introduce some I-convergent difference sequence spaces of fuzzy real numbers defined by Orlicz function and study their different properties like completeness, solidity, symmetricity etc.

The aim of this paper is to introduce and study some new double sequence spaces with respect to an Orlicz function, and also some properties of the resulting sequence spaces were examined.

In the present paper we introduce new sequence spaces of fuzzy numbers defined by a Orlicz function. We also make an effort to study some topological properties and some inclusion relation beween these spaces.

In this paper, we introduce the Orlicz sequence spaces generated by Cesàro mean of order one associated with a fixed multiplier sequence of non-zero scalars. Furthermore, we emphasize several algebraic and topological properties relevant to these spaces. Finally, we determine the Köthe-Toeplitz dual of the spaces `M (C, Λ) and hM (C, Λ). 1. Preliminaries, Background and Notation By ω, we denote...

In this paper we introduce a new class of sequence space namely the semi orlicz space of   analytic. It is shown that the intersection of all semi orlicz space of   of analytic is the semi orlicz space of   of analytic. Mathematics Subject Classification: 40A05, 40C05, 40D05